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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Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R ChinaShandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
Cui, Weideng
Luo, Li
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East China Normal Univ, Sch Math Sci, Shanghai Key Lab Pure Math & Math Practice, Shanghai 200241, Peoples R ChinaShandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
Luo, Li
Wang, Weiqiang
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Univ Virginia, Dept Math, Charlottesville, VA 22904 USAShandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China