Presenting quantum Schur algebras as quotients of the quantized universal enveloping algebra of gl(2)

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We obtain a presentation of quantum Schur algebras (over the field Q(v)) by generators and relations. This presentation is compatible with the usual presentation of the quantized universal enveloping algebra of the Lie algebra gl(2). We also locate the ``integral'' form of the quantum Schur algebra within the presented algebra and show it has a basis which is closely related to Lusztig's basis of the integral form of the quantized enveloping algebra.
22 pages, submitted to the Journal of Algebra, (proof of Theorem 2.6 revised)

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Representation Theory, Quantum Algebra, 16S30, 16P10

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http://salesiana.dossiersoluciones.com/handle/123456789/60398

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0011164
 http://arxiv.org/abs/math/0011164

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arXiv