REPRESENTATIONS OF SYMMETRIC GROUPS
Acknowledgements
Introduction
Representations of the Symmetric Group
Integral Representations
The Seminormal and Orthogonal Representations
Characters of the Symmetric Group
Single Values
Irreducible Characters
Character Table
Representations of the Alternating Group
Characters of the Alternating Group
Single Values
Irreducible Characters
Character Table
Bibliography
Introduction
Representations of the Symmetric Group
Integral Representations
SymmetricRepresentation(pa, pe) : SeqEnum, GrpPermElt -> AlgMatElt
Example RepSym_integral representations (H101E1)
The Seminormal and Orthogonal Representations
SymmetricRepresentationSeminormal(pa, pe) : SeqEnum,GrpPermElt -> AlgMatElt
SymmetricRepresentationOrthogonal(pa, pe) : SeqEnum,GrpPermElt -> AlgMatElt
Example RepSym_semi-orthog (H101E2)
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
AlternatingCharacterTable(d) : RngIntElt -> SeqEnum
Bibliography
[Next][Prev] [Right] [____] [Up] [Index] [Root]
|