Notation and aliases

Search accepts common ASCII, Unicode, and TeX-style notation. Matching a name does not erase its mathematical category.

Input	Interpretation	Where to check
SU(2), Spin(3), compact Sp(1)	Equivalent compact group descriptions under stated conventions	SU(2)
SO(3), PSU(2)	The adjoint compact A₁ group	SO(3)
A₁	A Lie type; choose the algebra, form, or group	Typed search
A₅	The alternating finite group in finite-group context	A₅
PSL(2,4), PSL(2,5)	Exceptional finite-group identifications with A₅	Canonical A₅ record
D₈ / D₄	Dihedral notation depends on whether the subscript counts order or polygon sides	Order-eight convention
Sp(n), USp(2n)	Compact quaternionic group	Conventions
Sp(2n,R)	Real symplectic matrix group	Real forms
SL(2,C)	This atlas treats it as a real six-dimensional group	Lorentz spin group
SO⁺(3,1), SO₀(1,3)	The identity component, with the signature ordering declared	Spacetime collection
Suz / Sz(q)	Sporadic Suzuki group / Suzuki finite-simple family	Finite classification

Alias policy

An exceptional identification resolves to a single canonical record. Different realizations and actions remain meaningful and should be connected through specified maps. Broader terms such as A₁ appear in search results with type labels; they are not redirected automatically to a single global group.

The individual records supply the supporting definition and identification sources.