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Representations of Lie superalgebras in prime characteristic II: The queer series

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arxiv 0902.2758 v4 pith:7I5HFIXQ submitted 2009-02-16 math.RT math.QAmath.RA

Weiqiang Wang , Lei Zhao This is my paper · ORCID
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keywords p-characterscharacteristiccriterionmodulesqueerrepresentationtheoryalgebras
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The modular representation theory of the queer Lie superalgebra q(n) over characteristic p>2 is developed. We obtain a criterion for the irreducibility of baby Verma modules with semisimple p-characters and a criterion for the semisimplicity of the corresponding reduced enveloping algebras. A (2p)-power divisibility of dimensions of q(n)-modules with nilpotent p-characters is established. The representation theory of q(2) is treated in detail. We formulate a Morita super-equivalence conjecture for q(n) with general p-characters which is verified for n=2.

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  1. Higher-level degenerate spin affine Hecke superalgebras

    math.RT 2026-07 accept novelty 5.5 of 10

    Higher-level degenerate spin affine Hecke superalgebras are isomorphic (after Clifford tensor) to higher-level degenerate affine Hecke–Clifford superalgebras, hence Morita superequivalent.

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