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On a generic Verma module at the critical level over affine Lie superalgebras

Maria Gorelik
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Abstract

We describe the structure of a Verma module with a generic highest weight at the critical level over a symmetrizable affine Lie superalgebra not of the type A(2k,2l)^{(4)}. We obtain the character formula for a simple module with a generic highest weight at the critical level conjectured by V. G. Kac and D. A. Kazhdan.

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Maria Gorelik. 2007-01-23. On a generic Verma module at the critical level over affine Lie superalgebras. https://arxiv.org/abs/math/0504253

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