$GL(m|n)$-supermodules with good and Weyl filtrations
Rings and Algebras
2014-06-17 v1 Representation Theory
Abstract
The purpose of this paper is to prove necessary and sufficient criteria for a -supermodule to have a good or Weryl filtration. We also introduce the notion of a Steinberg supermodule analogous to the classical notion of Steinberg module. We prove that the Steinberg supermodule inherits some properties of the Steinberg module. Some new series of finite-dimensional tilting supermodules are found.
Keywords
Cite
@article{arxiv.1406.3757,
title = {$GL(m|n)$-supermodules with good and Weyl filtrations},
author = {Alexandr N. Zubkov},
journal= {arXiv preprint arXiv:1406.3757},
year = {2014}
}