113 research outputs found
On a generic Verma module at the critical level over affine Lie superalgebras
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.Comment: considerably revised text, including the title; 33 page
Bounded highest weight modules of q(n)
A classification of the simple highest weight bounded modules of the queer
Lie superalgebras q(n) is obtained. To achieve this classification we introduce
a new combinatorial tool - the star action. Our result leads in particular to a
classification of all simple weight q(n)-modules.Comment: 40 pages, some corrections made to the earlier version. To appear in
IMR
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