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

Mathematics – Representation Theory

Scientific paper

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considerably revised text, including the title; 33 pages

Scientific paper

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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