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arXiv · 0706.0348

Modular representations of the ortho-symplectic supergroups

Bin Shu·Weiqiang Wang
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Abstract

A Chevalley type integral basis for the ortho-symplectic Lie superalgebra is constructed. The simple modules of the ortho-symplectic supergroup over an algebraically closed field of prime characteristic not equal to 2 are classified, where a key combinatorial ingredient comes from the Mullineux conjecture on modular representations of the symmetric group. A Steinberg tensor product theorem for the ortho-symplectic supergroup is also obtained.

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Bin Shu, Weiqiang Wang. 2007-09-02. Modular representations of the ortho-symplectic supergroups. https://doi.org/10.1112/plms%2Fpdm040

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