About
Calculator
Ordering
FAQ
Download
Download Magma
Databases
User Contributions
Documentation
Handbook
Overview
Release Notes
Discovering Maths with Magma
First Steps in Magma (pdf)
Solving Problems with Magma (pdf)
Acknowledgements
Citations
Conferences
Links
Contact
CAG
Login
Magma
Computer • algebra
Documentation
Up
Contents
Index
Search
Expand all
Collapse all
Introduction
Representations of the Symmetric Group
Integral Representations
SymmetricRepresentation(pa, pe) : SeqEnum, GrpPermElt -> AlgMatElt
Example
RepSym_integral representations (H99E1)
The Seminormal and Orthogonal Representations
SymmetricRepresentationSeminormal(pa, pe) : SeqEnum,GrpPermElt -> AlgMatElt
SymmetricRepresentationOrthogonal(pa, pe) : SeqEnum,GrpPermElt -> AlgMatElt
Example
RepSym_semi-orthog (H99E2)
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
Up
Contents
Index
Search
V2.28, 28 February 2025