Modular representations of the ortho‐symplectic supergroups

By B. Shu, Weiqiang Wang. 2007

53 citations recorded by the source corpus.

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 component 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.

View Paper: https://www.semanticscholar.org/paper/4e6ebde6cbe07dbe03e8b73dc5a3273a2a030f13

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1. Rita Fioresi
2. Lei Zhao
3. F. Gavarini
4. Weiqiang Wang

Citations in the corpus

• Representation theory of symmetric groups and related Hecke algebras (2009, unknown): “We refer the reader to [27, 17, 197, 43, 139, 64, 87, 163, 19, 16, 90, 65, 183] as well as [40, Remarks 3.”
• Chevalley Supergroups (2008, background): “Then OS,0 is a sheaf of ordinary commutative algebras, while OS,1 is a sheaf of OS,0–modules.”
• Representations of Lie superalgebras in prime characteristic I (2008, background): “For example, the Lie algebra of an algebraic supergroup is restricted (see [17]).”