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Shapovalov determinants of Q-type Lie superalgebras

Maria Gorelik
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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.

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Maria Gorelik. 2005-11-25. Shapovalov determinants of Q-type Lie superalgebras. https://arxiv.org/abs/math/0511623

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