Howe duality for Lie superalgebras (Q2745362)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Howe duality for Lie superalgebras |
scientific article; zbMATH DE number 1654613
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Howe duality for Lie superalgebras |
scientific article; zbMATH DE number 1654613 |
Statements
12 November 2003
0 references
Lie superalgebras
0 references
Howe duality
0 references
supersymmetric algebra
0 references
explicit multiplicity-free decompositions
0 references
highest weight vectors
0 references
combinatorial identities
0 references
hook Schur functions
0 references
Howe duality for Lie superalgebras (English)
0 references
The authors study the Howe duality in a supersymmetric algebra under the action of a dual pair of general linear Lie superalgebras and find explicit multiplicity-free decompositions as well as formulas for highest weight vectors. They also obtain combinatorial identities involving hook Schur functions.
0 references
