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Representations of
little q-Schur algebras
Jie Du, Qiang Fu and Jian-Pan Wang |
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Vol. 257 (2012), No. 2, 343–378
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Abstract |
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In previous work by the authors, little q-Schur algebras were introduced as homomorphic images of the infinitesimal quantum groups. Here we investigate representations of these algebras. We classify simple modules for little q-Schur algebras and classify semisimple little q-Schur algebras. Through the classification of the blocks of little q-Schur algebras for n = 2, we determine little q-Schur algebras of finite representation type in the odd roots of unity case. |
Keywords
quantum groups, infinitesimal quantum groups, q-Schur algebras, little q-Schur algebras, representations,
representation type
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Mathematical Subject Classification 2010
Primary: 20G42, 20G43
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Milestones
Received: 12 July 2011
Accepted: 30 January 2012
Published: 4 July 2012
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Authors |
| Jie Du | |
| School of Mathematics University of New South Wales Sydney 2052 Australia |
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| Qiang Fu | |
| Department of Mathematics Tongji University Shanghai 200092 China |
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| Jian-Pan Wang | |
| Department of Mathematics East China Normal University Shanghai 200241 China |
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