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Shapovalov determinants of Q-type Lie superalgebras

Research paper by Maria Gorelik

Indexed on: 25 Nov '05Published on: 25 Nov '05Published in: Mathematics - Representation Theory



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.