Representations of little $q$-Schur algebras

Details Representations of little $q$-Schur algebras Representations of little $q$-Schur algebras

2011-06-23

arxiv.org/abs/1106.4650v1

Mathematics

Representation Theory

Scientific paper

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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