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Presenting affine q-Schur algebras

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arxiv math/0603002 v1 pith:3GTXKWGD submitted 2006-02-28 math.QA math.RT

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keywords affinepresentationq-schuralgebraalgebrasrelationsaddingauthor
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We obtain a presentation of certain affine q-Schur algebras in terms of generators and relations. The presentation is obtained by adding more relations to the usual presentation of the quantized enveloping algebra of type affine gl_n. Our results extend and rely on the corresponding result for the q-Schur algebra of the symmetric group, which were proved by the first author and Giaquinto.

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