English

On simple modules for the restricted Lie superalgebra $gl(m|n)$

Rings and Algebras 2009-05-12 v1 Representation Theory

Abstract

In this paper, we study the simple modules for the restricted Lie superalgebra gl(mn)gl(m|n). A condition for the simplicity of the induced modules is given, and an analogue of Kac-Weisfeiler theorem is proved.

Keywords

Cite

@article{arxiv.0905.1383,
  title  = {On simple modules for the restricted Lie superalgebra $gl(m|n)$},
  author = {Chaowen Zhang},
  journal= {arXiv preprint arXiv:0905.1383},
  year   = {2009}
}
R2 v1 2026-06-21T12:59:58.086Z