%0 Journal Article
%T Shapovalov determinants of Q-type Lie superalgebras
%A Maria Gorelik
%J Mathematics
%D 2005
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0511623v1