Reductive Groups
- Introduction
- Creation of Reductive Groups
ReductiveGroup(G0, Comp): GrpLie, Grp → GrpRed
ReductiveGroup(group_data): List → GrpRed
SymplecticGroup(V): SpcPlr → GrpRed
SymplecticGroup(n, F): RngIntElt, Fld → GrpRed
SymplecticGroup(Q): AlgMatElt[Fld] → GrpRed
SymplecticGroup(Q): AlgMatElt[Rng] → GrpRed
OrthogonalGroup(V): SpcPlr → GrpRed
OrthogonalGroup(n, F): RngIntElt, Fld → GrpRed
OrthogonalGroup(Q): AlgMatElt[Fld] → GrpRed
OrthogonalGroup(Q): AlgMatElt[Rng] → GrpRed
SpecialOrthogonalGroup(V): SpcPlr → GrpRed
SpecialOrthogonalGroup(n, F): RngIntElt, Fld → GrpRed
SpecialOrthogonalGroup(Q): AlgMatElt[Fld] → GrpRed
SpecialOrthogonalGroup(Q): AlgMatElt[Rng] → GrpRed
UnitaryGroup(V): SpcPlr → GrpRed
UnitaryGroup(n, F): RngIntElt, Fld → GrpRed
UnitaryGroup(Q): AlgMatElt[Fld] → GrpRed
UnitaryGroup(Q): AlgMatElt[Rng] → GrpRed
- Properties of Reductive Groups
- Operations on Reductive Groups
- Elements of Reductive Groups