Modular representations of the ortho-symplectic supergroups

Details Modular representations of the ortho-symplectic supergroups Modular representations of the ortho-symplectic supergroups

2007-06-03

arxiv.org/abs/0706.0348v2

Proc. London Math. Soc. 96 (2008), 251--271.

Mathematics

Representation Theory

v2, 23 pages, updated references and minor changes, to appear in Proc. London Math. Soc

Scientific paper

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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