Modular representations of the ortho-symplectic supergroups
Representation Theory
2014-02-26 v2 Quantum Algebra
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.
Cite
@article{arxiv.0706.0348,
title = {Modular representations of the ortho-symplectic supergroups},
author = {Bin Shu and Weiqiang Wang},
journal= {arXiv preprint arXiv:0706.0348},
year = {2014}
}