Special modules over positively based algebras
Representation Theory
2016-12-30 v1 Group Theory
Rings and Algebras
Abstract
We use the Perron-Frobenius Theorem to define, study and, in some sense, classify special simple modules over arbitrary finite dimensional positively based algebras. For group algebras of finite Weyl groups with respect to the Kazhdan-Lusztig basis, this agrees with Lusztig's notion of a special module introduced in [Lu1].
Cite
@article{arxiv.1601.06975,
title = {Special modules over positively based algebras},
author = {Tobias Kildetoft and Volodymyr Mazorchuk},
journal= {arXiv preprint arXiv:1601.06975},
year = {2016}
}