Modular representations of the ortho-symplectic supergroups

Bin Shu; Weiqiang Wang

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Modular representations of the ortho-symplectic supergroups

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arxiv 0706.0348 v2 pith:YIU53P77 submitted 2007-06-03 math.RT math.QA

Modular representations of the ortho-symplectic supergroups

Bin Shu , Weiqiang Wang This is my paper

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keywords ortho-symplecticmodularrepresentationssupergroupalgebraicallybasischaracteristicchevalley

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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.

Modular representations of the ortho-symplectic supergroups

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