Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
|
| gptkbp:application |
gptkb:Schur–Weyl_duality
modular representation theory character theory |
| gptkbp:basisFor |
group elements of symmetric group
|
| gptkbp:decomposesAs |
direct sum of matrix algebras
|
| gptkbp:definedIn |
gptkb:Field
|
| gptkbp:dimensions |
n!
|
| gptkbp:generalizes |
group algebra
|
| gptkbp:hasIdempotents |
gptkb:Young_symmetrizers
|
| https://www.w3.org/2000/01/rdf-schema#label |
symmetric group algebra
|
| gptkbp:relatedTo |
gptkb:group_of_people
group algebra |
| gptkbp:structure |
semisimple (over characteristic 0)
|
| gptkbp:studiedBy |
gptkb:Alfred_Young
gptkb:William_Burnside |
| gptkbp:usedIn |
representation theory
algebraic combinatorics |
| gptkbp:bfsParent |
gptkb:Specht_module
|
| gptkbp:bfsLayer |
6
|