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arXiv · 1106.4650

Representations of little $q$-Schur algebras

Jie Du·Qiang Fu·Jian-pan Wang
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Abstract

In \cite{DFW} and \cite{Fu07}, little $q$-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 $q$-Schur algebras and classify semisimple little $q$-Schur algebras. Moreover, through the classification of the blocks of little $q$-Schur algebras for $n=2$, we will determine little $q$-Schur algebras of finite representation type in the odd roots of unity case.

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Jie Du, Qiang Fu, Jian-pan Wang. 2011-06-23. Representations of little $q$-Schur algebras. https://arxiv.org/abs/1106.4650

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