Presenting affine q-Schur algebras

Details Presenting affine q-Schur algebras Presenting affine q-Schur algebras

2006-02-28

arxiv.org/abs/math/0603002v1

Mathematics

Quantum Algebra

Scientific paper

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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