paper
The Real Chevalley Involution
Jeffrey Adams
Use in this reference: Linked primary source. Original algorithms and explanatory prose; no upstream software or document text is redistributed.
Relevant material: Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep.
Dependent assertions
| Record | Assertion | Source locator |
|---|---|---|
| A1 · (1) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (1) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (1) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (1) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (1) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (1) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (1) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (1) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (1) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (1) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (1) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (1) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (1) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (2) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (2) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (2) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (2) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (2) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (2) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (2) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (2) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (2) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (2) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (2) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (2) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A1 · (2) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (0,1) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (0,1) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (0,1) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (0,1) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (0,1) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (0,1) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (0,1) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (0,1) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (0,1) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (0,1) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (0,1) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (0,1) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (0,1) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,1) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,1) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,1) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,1) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,1) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,1) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,1) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,1) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,1) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,1) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,1) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,1) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (1,1) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (3,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (3,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (3,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (3,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (3,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (3,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (3,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (3,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (3,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (3,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (3,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (3,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (3,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,2) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,2) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,2) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,2) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,2) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,2) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,2) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,2) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,2) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,2) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,2) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,2) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A2 · (2,2) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (0,1,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (0,1,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (0,1,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (0,1,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (0,1,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (0,1,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (0,1,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (0,1,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (0,1,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (0,1,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (0,1,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (0,1,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (0,1,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,1) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,1) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,1) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,1) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,1) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,1) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,1) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,1) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,1) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,1) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,1) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,1) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A3 · (1,0,1) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (0,1,0,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (0,1,0,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (0,1,0,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (0,1,0,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (0,1,0,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (0,1,0,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (0,1,0,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (0,1,0,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (0,1,0,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (0,1,0,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (0,1,0,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (0,1,0,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (0,1,0,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,1) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,1) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,1) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,1) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,1) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,1) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,1) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,1) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,1) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,1) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,1) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,1) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| A4 · (1,0,0,1) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (1,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (1,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (1,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (1,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (1,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (1,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (1,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (1,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (1,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (1,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (1,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (1,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (1,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (0,1) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (0,1) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (0,1) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (0,1) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (0,1) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (0,1) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (0,1) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (0,1) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (0,1) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (0,1) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (0,1) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (0,1) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| C2 · (0,1) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (1,0,0,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (1,0,0,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (1,0,0,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (1,0,0,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (1,0,0,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (1,0,0,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (1,0,0,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (1,0,0,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (1,0,0,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (1,0,0,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (1,0,0,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (1,0,0,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (1,0,0,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,1,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,1,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,1,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,1,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,1,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,1,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,1,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,1,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,1,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,1,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,1,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,1,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,1,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,0,1) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,0,1) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,0,1) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,0,1) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,0,1) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,0,1) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,0,1) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,0,1) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,0,1) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,0,1) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,0,1) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,0,1) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D4 · (0,0,0,1) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (1,0,0,0,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (1,0,0,0,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (1,0,0,0,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (1,0,0,0,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (1,0,0,0,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (1,0,0,0,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (1,0,0,0,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (1,0,0,0,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (1,0,0,0,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (1,0,0,0,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (1,0,0,0,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (1,0,0,0,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (1,0,0,0,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,0,1) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,0,1) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,0,1) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,0,1) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,0,1) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,0,1) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,0,1) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,0,1) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,0,1) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,0,1) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,0,1) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,0,1) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,0,1) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,1,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,1,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,1,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,1,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,1,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,1,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,1,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,1,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,1,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,1,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,1,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,1,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,0,0,1,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,1,0,0,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,1,0,0,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,1,0,0,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,1,0,0,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,1,0,0,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,1,0,0,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,1,0,0,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,1,0,0,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,1,0,0,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,1,0,0,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,1,0,0,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,1,0,0,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| D5 · (0,1,0,0,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (1,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (1,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (1,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (1,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (1,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (1,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (1,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (1,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (1,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (1,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (1,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (1,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (1,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (0,1) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (0,1) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (0,1) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (0,1) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (0,1) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (0,1) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (0,1) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (0,1) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (0,1) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (0,1) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (0,1) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (0,1) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| G2 · (0,1) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (0,0,0,1) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (0,0,0,1) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (0,0,0,1) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (0,0,0,1) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (0,0,0,1) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (0,0,0,1) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (0,0,0,1) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (0,0,0,1) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (0,0,0,1) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (0,0,0,1) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (0,0,0,1) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (0,0,0,1) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (0,0,0,1) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (1,0,0,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (1,0,0,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (1,0,0,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (1,0,0,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (1,0,0,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (1,0,0,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (1,0,0,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (1,0,0,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (1,0,0,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (1,0,0,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (1,0,0,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (1,0,0,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| F4 · (1,0,0,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (1,0,0,0,0,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (1,0,0,0,0,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (1,0,0,0,0,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (1,0,0,0,0,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (1,0,0,0,0,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (1,0,0,0,0,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (1,0,0,0,0,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (1,0,0,0,0,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (1,0,0,0,0,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (1,0,0,0,0,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (1,0,0,0,0,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (1,0,0,0,0,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (1,0,0,0,0,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (0,1,0,0,0,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (0,1,0,0,0,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (0,1,0,0,0,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (0,1,0,0,0,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (0,1,0,0,0,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (0,1,0,0,0,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (0,1,0,0,0,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (0,1,0,0,0,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (0,1,0,0,0,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (0,1,0,0,0,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (0,1,0,0,0,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (0,1,0,0,0,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E6 · (0,1,0,0,0,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (0,0,0,0,0,0,1) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (0,0,0,0,0,0,1) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (0,0,0,0,0,0,1) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (0,0,0,0,0,0,1) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (0,0,0,0,0,0,1) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (0,0,0,0,0,0,1) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (0,0,0,0,0,0,1) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (0,0,0,0,0,0,1) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (0,0,0,0,0,0,1) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (0,0,0,0,0,0,1) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (0,0,0,0,0,0,1) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (0,0,0,0,0,0,1) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (0,0,0,0,0,0,1) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (1,0,0,0,0,0,0) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (1,0,0,0,0,0,0) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (1,0,0,0,0,0,0) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (1,0,0,0,0,0,0) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (1,0,0,0,0,0,0) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (1,0,0,0,0,0,0) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (1,0,0,0,0,0,0) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (1,0,0,0,0,0,0) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (1,0,0,0,0,0,0) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (1,0,0,0,0,0,0) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (1,0,0,0,0,0,0) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (1,0,0,0,0,0,0) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E7 · (1,0,0,0,0,0,0) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E8 · (0,0,0,0,0,0,0,1) | Definition | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E8 · (0,0,0,0,0,0,0,1) | Complex dimension | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E8 · (0,0,0,0,0,0,0,1) | Coefficient field | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E8 · (0,0,0,0,0,0,0,1) | Quadratic Casimir C₂ | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E8 · (0,0,0,0,0,0,0,1) | Quadratic index T(R) | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E8 · (0,0,0,0,0,0,0,1) | Reality type | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E8 · (0,0,0,0,0,0,0,1) | Conjugate highest weight | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E8 · (0,0,0,0,0,0,0,1) | Descends to the adjoint global form | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E8 · (0,0,0,0,0,0,0,1) | Order of central kernel | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E8 · (0,0,0,0,0,0,0,1) | Highest weight and conventions | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E8 · (0,0,0,0,0,0,0,1) | Global form and center | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E8 · (0,0,0,0,0,0,0,1) | Use in a calculation | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |
| E8 · (0,0,0,0,0,0,0,1) | Representation domain | Lemma 5.3, equation (5.4), printed pages 16–17: the indicator of a self-dual finite-dimensional irrep. |