Representations of little q-Schur algebras

2011/06/23 by Jie Du, Qiang Fu, Du, Jie +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1106.4650

openalex publication_date 2011/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In \citeDFW and \citeFu07, 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.

Related

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• Irreducible representations of q-Schur superalgebras at a root of unity
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