Kac-Wakimoto character formula for ortho-symplectic Lie superalgebras (Q329532)
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: Kac-Wakimoto character formula for ortho-symplectic Lie superalgebras |
scientific article; zbMATH DE number 6642283
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kac-Wakimoto character formula for ortho-symplectic Lie superalgebras |
scientific article; zbMATH DE number 6642283 |
Statements
Kac-Wakimoto character formula for ortho-symplectic Lie superalgebras (English)
0 references
21 October 2016
0 references
The paper under review classifies finite-dimensional tame modules over ortho-symplectic Lie superalgebras and shows that characters of these modules are given by the Kac-Wakimoto character formula. This confirms the Kac-Wakimoto conjecture for ortho-symplectic Lie superalgebras. Additionally, it is shown that super characters of tame modules are given, up to sign, by super Jacobi polynomials of Sergeev and Veselov.
0 references
ortho-symplectic Lie superalgebra
0 references
character
0 references
super Jacobi polynomial
0 references
super character
0 references
0 references
0 references
0 references
0 references
