Representations of little $q$-Schur algebras
Representation Theory
2011-06-24 v1 Quantum Algebra
Abstract
In \cite{DFW} and \cite{Fu07}, little -Schur algebras were introduced as homomorphic images of the infinitesimal quantum groups. In this paper, we will investigate representations of these algebras. We will classify simple modules for little -Schur algebras and classify semisimple little -Schur algebras. Moreover, through the classification of the blocks of little -Schur algebras for , we will determine little -Schur algebras of finite representation type in the odd roots of unity case.
Keywords
Cite
@article{arxiv.1106.4650,
title = {Representations of little $q$-Schur algebras},
author = {Jie Du and Qiang Fu and Jian-pan Wang},
journal= {arXiv preprint arXiv:1106.4650},
year = {2011}
}