Shapovalov determinants of Q-type Lie superalgebras
Representation Theory
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0511623,
title = {Shapovalov determinants of Q-type Lie superalgebras},
author = {Maria Gorelik},
journal= {arXiv preprint arXiv:math/0511623},
year = {2007}
}
Comments
60 pages