Shapovalov determinants of Q-type Lie superalgebras

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We define an analogue of Shapovalov forms for Q-type Lie superalgebras and factorize the corresponding Shapovalov determinants which are responsible for simplicity of highest weight modules. We apply the factorization to obtain a description of the centres of Q-type Lie superalgebras.
60 pages

Keywords

Representation Theory, 17B20, 17B35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/105082

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511623
 http://arxiv.org/abs/math/0511623

Collections

arXiv