Shapovalov determinants of Q-type Lie superalgebras

Details Shapovalov determinants of Q-type Lie superalgebras Shapovalov determinants of Q-type Lie superalgebras

2005-11-25

arxiv.org/abs/math/0511623v1

Mathematics

Representation Theory

60 pages

Scientific paper

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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