Shapovalov determinants of Q-type Lie superalgebras
classification
🧮 math.RT
keywords
q-typeshapovalovsuperalgebrasdeterminantsanalogueapplycentrescorresponding
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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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