lecture-notes
Etingof et al., Introduction to Representation Theory
Use in this reference: Linked authoritative source for checking mathematical facts. Original table specification and explanations are maintained here; this release does not redistribute an upstream database or assert a license over its content.
Relevant material: Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators
Dependent assertions
| Record | Assertion | Source locator |
|---|---|---|
| C₃ · 1 | Definition | Ordinary character table of C₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · 1 | Complex dimension | Ordinary character table of C₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · 1 | Coefficient field | Ordinary character table of C₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · 1 | Frobenius–Schur type | Ordinary character table of C₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · 1 | Frobenius–Schur indicator | Ordinary character table of C₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · 1 | Complex conjugate irrep | Ordinary character table of C₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · 1 | Character and identity | Ordinary character table of C₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · 1 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| C₃ · 1 | Conventions and realization | Ordinary character table of C₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · 1 | Representation domain | Ordinary character table of C₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ | Definition | Ordinary character table of C₃; the irrep χ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ | Complex dimension | Ordinary character table of C₃; the irrep χ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ | Coefficient field | Ordinary character table of C₃; the irrep χ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ | Frobenius–Schur type | Ordinary character table of C₃; the irrep χ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ | Frobenius–Schur indicator | Ordinary character table of C₃; the irrep χ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ | Complex conjugate irrep | Ordinary character table of C₃; the irrep χ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ | Character and identity | Ordinary character table of C₃; the irrep χ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| C₃ · χ | Conventions and realization | Ordinary character table of C₃; the irrep χ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ | Representation domain | Ordinary character table of C₃; the irrep χ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ | Complex conjugate representation | Ordinary character table of C₃; the irrep χ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ² | Definition | Ordinary character table of C₃; the irrep χ² is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ² | Complex dimension | Ordinary character table of C₃; the irrep χ² is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ² | Coefficient field | Ordinary character table of C₃; the irrep χ² is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ² | Frobenius–Schur type | Ordinary character table of C₃; the irrep χ² is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ² | Frobenius–Schur indicator | Ordinary character table of C₃; the irrep χ² is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ² | Complex conjugate irrep | Ordinary character table of C₃; the irrep χ² is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ² | Character and identity | Ordinary character table of C₃; the irrep χ² is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ² | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| C₃ · χ² | Conventions and realization | Ordinary character table of C₃; the irrep χ² is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ² | Representation domain | Ordinary character table of C₃; the irrep χ² is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| C₃ · χ² | Complex conjugate representation | Ordinary character table of C₃; the irrep χ² is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 1 | Definition | Ordinary character table of S₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 1 | Complex dimension | Ordinary character table of S₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 1 | Coefficient field | Ordinary character table of S₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 1 | Frobenius–Schur type | Ordinary character table of S₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 1 | Frobenius–Schur indicator | Ordinary character table of S₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 1 | Complex conjugate irrep | Ordinary character table of S₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 1 | Character and identity | Ordinary character table of S₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 1 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| S₃ · 1 | Conventions and realization | Ordinary character table of S₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 1 | Representation domain | Ordinary character table of S₃; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · sgn | Definition | Ordinary character table of S₃; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · sgn | Complex dimension | Ordinary character table of S₃; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · sgn | Coefficient field | Ordinary character table of S₃; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · sgn | Frobenius–Schur type | Ordinary character table of S₃; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · sgn | Frobenius–Schur indicator | Ordinary character table of S₃; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · sgn | Complex conjugate irrep | Ordinary character table of S₃; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · sgn | Character and identity | Ordinary character table of S₃; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · sgn | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| S₃ · sgn | Conventions and realization | Ordinary character table of S₃; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · sgn | Representation domain | Ordinary character table of S₃; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 2 | Definition | Ordinary character table of S₃; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 2 | Complex dimension | Ordinary character table of S₃; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 2 | Coefficient field | Ordinary character table of S₃; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 2 | Frobenius–Schur type | Ordinary character table of S₃; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 2 | Frobenius–Schur indicator | Ordinary character table of S₃; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 2 | Complex conjugate irrep | Ordinary character table of S₃; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 2 | Character and identity | Ordinary character table of S₃; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 2 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| S₃ · 2 | Conventions and realization | Ordinary character table of S₃; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₃ · 2 | Representation domain | Ordinary character table of S₃; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 1 | Definition | Ordinary character table of D₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 1 | Complex dimension | Ordinary character table of D₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 1 | Coefficient field | Ordinary character table of D₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 1 | Frobenius–Schur type | Ordinary character table of D₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 1 | Frobenius–Schur indicator | Ordinary character table of D₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 1 | Complex conjugate irrep | Ordinary character table of D₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 1 | Character and identity | Ordinary character table of D₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 1 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| D₈ · 1 | Conventions and realization | Ordinary character table of D₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 1 | Representation domain | Ordinary character table of D₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · a | Definition | Ordinary character table of D₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · a | Complex dimension | Ordinary character table of D₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · a | Coefficient field | Ordinary character table of D₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · a | Frobenius–Schur type | Ordinary character table of D₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · a | Frobenius–Schur indicator | Ordinary character table of D₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · a | Complex conjugate irrep | Ordinary character table of D₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · a | Character and identity | Ordinary character table of D₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · a | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| D₈ · a | Conventions and realization | Ordinary character table of D₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · a | Representation domain | Ordinary character table of D₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · b | Definition | Ordinary character table of D₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · b | Complex dimension | Ordinary character table of D₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · b | Coefficient field | Ordinary character table of D₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · b | Frobenius–Schur type | Ordinary character table of D₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · b | Frobenius–Schur indicator | Ordinary character table of D₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · b | Complex conjugate irrep | Ordinary character table of D₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · b | Character and identity | Ordinary character table of D₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · b | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| D₈ · b | Conventions and realization | Ordinary character table of D₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · b | Representation domain | Ordinary character table of D₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · c | Definition | Ordinary character table of D₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · c | Complex dimension | Ordinary character table of D₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · c | Coefficient field | Ordinary character table of D₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · c | Frobenius–Schur type | Ordinary character table of D₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · c | Frobenius–Schur indicator | Ordinary character table of D₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · c | Complex conjugate irrep | Ordinary character table of D₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · c | Character and identity | Ordinary character table of D₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · c | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| D₈ · c | Conventions and realization | Ordinary character table of D₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · c | Representation domain | Ordinary character table of D₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 2 | Definition | Ordinary character table of D₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 2 | Complex dimension | Ordinary character table of D₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 2 | Coefficient field | Ordinary character table of D₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 2 | Frobenius–Schur type | Ordinary character table of D₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 2 | Frobenius–Schur indicator | Ordinary character table of D₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 2 | Complex conjugate irrep | Ordinary character table of D₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 2 | Character and identity | Ordinary character table of D₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 2 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| D₈ · 2 | Conventions and realization | Ordinary character table of D₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| D₈ · 2 | Representation domain | Ordinary character table of D₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 1 | Definition | Ordinary character table of Q₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 1 | Complex dimension | Ordinary character table of Q₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 1 | Coefficient field | Ordinary character table of Q₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 1 | Frobenius–Schur type | Ordinary character table of Q₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 1 | Frobenius–Schur indicator | Ordinary character table of Q₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 1 | Complex conjugate irrep | Ordinary character table of Q₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 1 | Character and identity | Ordinary character table of Q₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 1 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| Q₈ · 1 | Conventions and realization | Ordinary character table of Q₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 1 | Representation domain | Ordinary character table of Q₈; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · a | Definition | Ordinary character table of Q₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · a | Complex dimension | Ordinary character table of Q₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · a | Coefficient field | Ordinary character table of Q₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · a | Frobenius–Schur type | Ordinary character table of Q₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · a | Frobenius–Schur indicator | Ordinary character table of Q₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · a | Complex conjugate irrep | Ordinary character table of Q₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · a | Character and identity | Ordinary character table of Q₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · a | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| Q₈ · a | Conventions and realization | Ordinary character table of Q₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · a | Representation domain | Ordinary character table of Q₈; the irrep a is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · b | Definition | Ordinary character table of Q₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · b | Complex dimension | Ordinary character table of Q₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · b | Coefficient field | Ordinary character table of Q₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · b | Frobenius–Schur type | Ordinary character table of Q₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · b | Frobenius–Schur indicator | Ordinary character table of Q₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · b | Complex conjugate irrep | Ordinary character table of Q₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · b | Character and identity | Ordinary character table of Q₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · b | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| Q₈ · b | Conventions and realization | Ordinary character table of Q₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · b | Representation domain | Ordinary character table of Q₈; the irrep b is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · c | Definition | Ordinary character table of Q₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · c | Complex dimension | Ordinary character table of Q₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · c | Coefficient field | Ordinary character table of Q₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · c | Frobenius–Schur type | Ordinary character table of Q₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · c | Frobenius–Schur indicator | Ordinary character table of Q₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · c | Complex conjugate irrep | Ordinary character table of Q₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · c | Character and identity | Ordinary character table of Q₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · c | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| Q₈ · c | Conventions and realization | Ordinary character table of Q₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · c | Representation domain | Ordinary character table of Q₈; the irrep c is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 2 | Definition | Ordinary character table of Q₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 2 | Complex dimension | Ordinary character table of Q₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 2 | Coefficient field | Ordinary character table of Q₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 2 | Frobenius–Schur type | Ordinary character table of Q₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 2 | Frobenius–Schur indicator | Ordinary character table of Q₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 2 | Complex conjugate irrep | Ordinary character table of Q₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 2 | Character and identity | Ordinary character table of Q₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 2 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| Q₈ · 2 | Conventions and realization | Ordinary character table of Q₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| Q₈ · 2 | Representation domain | Ordinary character table of Q₈; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1 | Definition | Ordinary character table of A₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1 | Complex dimension | Ordinary character table of A₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1 | Coefficient field | Ordinary character table of A₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1 | Frobenius–Schur type | Ordinary character table of A₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1 | Frobenius–Schur indicator | Ordinary character table of A₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1 | Complex conjugate irrep | Ordinary character table of A₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1 | Character and identity | Ordinary character table of A₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| A₄ · 1 | Conventions and realization | Ordinary character table of A₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1 | Representation domain | Ordinary character table of A₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1′ | Definition | Ordinary character table of A₄; the irrep 1′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1′ | Complex dimension | Ordinary character table of A₄; the irrep 1′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1′ | Coefficient field | Ordinary character table of A₄; the irrep 1′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1′ | Frobenius–Schur type | Ordinary character table of A₄; the irrep 1′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1′ | Frobenius–Schur indicator | Ordinary character table of A₄; the irrep 1′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1′ | Complex conjugate irrep | Ordinary character table of A₄; the irrep 1′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1′ | Character and identity | Ordinary character table of A₄; the irrep 1′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1′ | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| A₄ · 1′ | Conventions and realization | Ordinary character table of A₄; the irrep 1′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1′ | Representation domain | Ordinary character table of A₄; the irrep 1′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1′ | Complex conjugate representation | Ordinary character table of A₄; the irrep 1′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1″ | Definition | Ordinary character table of A₄; the irrep 1″ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1″ | Complex dimension | Ordinary character table of A₄; the irrep 1″ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1″ | Coefficient field | Ordinary character table of A₄; the irrep 1″ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1″ | Frobenius–Schur type | Ordinary character table of A₄; the irrep 1″ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1″ | Frobenius–Schur indicator | Ordinary character table of A₄; the irrep 1″ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1″ | Complex conjugate irrep | Ordinary character table of A₄; the irrep 1″ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1″ | Character and identity | Ordinary character table of A₄; the irrep 1″ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1″ | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| A₄ · 1″ | Conventions and realization | Ordinary character table of A₄; the irrep 1″ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1″ | Representation domain | Ordinary character table of A₄; the irrep 1″ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 1″ | Complex conjugate representation | Ordinary character table of A₄; the irrep 1″ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 3 | Definition | Ordinary character table of A₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 3 | Complex dimension | Ordinary character table of A₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 3 | Coefficient field | Ordinary character table of A₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 3 | Frobenius–Schur type | Ordinary character table of A₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 3 | Frobenius–Schur indicator | Ordinary character table of A₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 3 | Complex conjugate irrep | Ordinary character table of A₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 3 | Character and identity | Ordinary character table of A₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 3 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| A₄ · 3 | Conventions and realization | Ordinary character table of A₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₄ · 3 | Representation domain | Ordinary character table of A₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 1 | Definition | Ordinary character table of S₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 1 | Complex dimension | Ordinary character table of S₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 1 | Coefficient field | Ordinary character table of S₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 1 | Frobenius–Schur type | Ordinary character table of S₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 1 | Frobenius–Schur indicator | Ordinary character table of S₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 1 | Complex conjugate irrep | Ordinary character table of S₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 1 | Character and identity | Ordinary character table of S₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 1 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| S₄ · 1 | Conventions and realization | Ordinary character table of S₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 1 | Representation domain | Ordinary character table of S₄; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · sgn | Definition | Ordinary character table of S₄; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · sgn | Complex dimension | Ordinary character table of S₄; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · sgn | Coefficient field | Ordinary character table of S₄; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · sgn | Frobenius–Schur type | Ordinary character table of S₄; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · sgn | Frobenius–Schur indicator | Ordinary character table of S₄; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · sgn | Complex conjugate irrep | Ordinary character table of S₄; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · sgn | Character and identity | Ordinary character table of S₄; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · sgn | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| S₄ · sgn | Conventions and realization | Ordinary character table of S₄; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · sgn | Representation domain | Ordinary character table of S₄; the irrep sgn is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 2 | Definition | Ordinary character table of S₄; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 2 | Complex dimension | Ordinary character table of S₄; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 2 | Coefficient field | Ordinary character table of S₄; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 2 | Frobenius–Schur type | Ordinary character table of S₄; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 2 | Frobenius–Schur indicator | Ordinary character table of S₄; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 2 | Complex conjugate irrep | Ordinary character table of S₄; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 2 | Character and identity | Ordinary character table of S₄; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 2 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| S₄ · 2 | Conventions and realization | Ordinary character table of S₄; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 2 | Representation domain | Ordinary character table of S₄; the irrep 2 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3 | Definition | Ordinary character table of S₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3 | Complex dimension | Ordinary character table of S₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3 | Coefficient field | Ordinary character table of S₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3 | Frobenius–Schur type | Ordinary character table of S₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3 | Frobenius–Schur indicator | Ordinary character table of S₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3 | Complex conjugate irrep | Ordinary character table of S₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3 | Character and identity | Ordinary character table of S₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| S₄ · 3 | Conventions and realization | Ordinary character table of S₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3 | Representation domain | Ordinary character table of S₄; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3′ | Definition | Ordinary character table of S₄; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3′ | Complex dimension | Ordinary character table of S₄; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3′ | Coefficient field | Ordinary character table of S₄; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3′ | Frobenius–Schur type | Ordinary character table of S₄; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3′ | Frobenius–Schur indicator | Ordinary character table of S₄; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3′ | Complex conjugate irrep | Ordinary character table of S₄; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3′ | Character and identity | Ordinary character table of S₄; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3′ | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| S₄ · 3′ | Conventions and realization | Ordinary character table of S₄; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| S₄ · 3′ | Representation domain | Ordinary character table of S₄; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 1 | Definition | Ordinary character table of A₅; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 1 | Complex dimension | Ordinary character table of A₅; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 1 | Coefficient field | Ordinary character table of A₅; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 1 | Frobenius–Schur type | Ordinary character table of A₅; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 1 | Frobenius–Schur indicator | Ordinary character table of A₅; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 1 | Complex conjugate irrep | Ordinary character table of A₅; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 1 | Character and identity | Ordinary character table of A₅; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 1 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| A₅ · 1 | Conventions and realization | Ordinary character table of A₅; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 1 | Representation domain | Ordinary character table of A₅; the irrep 1 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3 | Definition | Ordinary character table of A₅; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3 | Complex dimension | Ordinary character table of A₅; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3 | Coefficient field | Ordinary character table of A₅; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3 | Frobenius–Schur type | Ordinary character table of A₅; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3 | Frobenius–Schur indicator | Ordinary character table of A₅; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3 | Complex conjugate irrep | Ordinary character table of A₅; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3 | Character and identity | Ordinary character table of A₅; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| A₅ · 3 | Conventions and realization | Ordinary character table of A₅; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3 | Representation domain | Ordinary character table of A₅; the irrep 3 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3′ | Definition | Ordinary character table of A₅; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3′ | Complex dimension | Ordinary character table of A₅; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3′ | Coefficient field | Ordinary character table of A₅; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3′ | Frobenius–Schur type | Ordinary character table of A₅; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3′ | Frobenius–Schur indicator | Ordinary character table of A₅; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3′ | Complex conjugate irrep | Ordinary character table of A₅; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3′ | Character and identity | Ordinary character table of A₅; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3′ | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| A₅ · 3′ | Conventions and realization | Ordinary character table of A₅; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 3′ | Representation domain | Ordinary character table of A₅; the irrep 3′ is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 4 | Definition | Ordinary character table of A₅; the irrep 4 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 4 | Complex dimension | Ordinary character table of A₅; the irrep 4 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 4 | Coefficient field | Ordinary character table of A₅; the irrep 4 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 4 | Frobenius–Schur type | Ordinary character table of A₅; the irrep 4 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 4 | Frobenius–Schur indicator | Ordinary character table of A₅; the irrep 4 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 4 | Complex conjugate irrep | Ordinary character table of A₅; the irrep 4 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 4 | Character and identity | Ordinary character table of A₅; the irrep 4 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 4 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| A₅ · 4 | Conventions and realization | Ordinary character table of A₅; the irrep 4 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 4 | Representation domain | Ordinary character table of A₅; the irrep 4 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 5 | Definition | Ordinary character table of A₅; the irrep 5 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 5 | Complex dimension | Ordinary character table of A₅; the irrep 5 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 5 | Coefficient field | Ordinary character table of A₅; the irrep 5 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 5 | Frobenius–Schur type | Ordinary character table of A₅; the irrep 5 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 5 | Frobenius–Schur indicator | Ordinary character table of A₅; the irrep 5 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 5 | Complex conjugate irrep | Ordinary character table of A₅; the irrep 5 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 5 | Character and identity | Ordinary character table of A₅; the irrep 5 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 5 | Tensor operations and physical use | Sections 4.4–4.5, 4.8–4.9, and 5.1: characters, orthogonality, small-group tables, tensor products, and Frobenius–Schur indicators |
| A₅ · 5 | Conventions and realization | Ordinary character table of A₅; the irrep 5 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |
| A₅ · 5 | Representation domain | Ordinary character table of A₅; the irrep 5 is identified by the complete character vector in this record. Local class representatives and labels are supplied with the table. |