Introduction
Representations of the Symmetric Group
Integral Representations SymmetricRepresentation(pa, pe) : SeqEnum, GrpPermElt -> AlgMatElt Example RepSym_integral representations (H91E1)
The Seminormal and Orthogonal Representations SymmetricRepresentationSeminormal(pa, pe) : SeqEnum,GrpPermElt -> AlgMatElt SymmetricRepresentationOrthogonal(pa, pe) : SeqEnum,GrpPermElt -> AlgMatElt Example RepSym_semi-orthog (H91E2)
Characters of the Symmetric Group
Single Values SymmetricCharacterValue(pa, pe) : SeqEnum, GrpPermElt -> RngElt
Irreducible Characters SymmetricCharacter(pa) : SeqEnum -> AlgChtrElt
Character Table SymmetricCharacterTable(d) : RngIntElt -> SeqEnum
Representations of the Alternating Group
Characters of the Alternating Group
Single Values AlternatingCharacterValue(pa, pe) : SeqEnum, GrpPermElt -> RngElt AlternatingCharacterValue(pa, i, pe) : SeqEnum, RngIntElt, GrpPermElt -> RngElt
Irreducible Characters AlternatingCharacter(pa) : SeqEnum -> AlgChtrElt AlternatingCharacter(pa, i) : SeqEnum, RngIntElt -> AlgChtrElt
Character Table
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