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

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dc.creatorDoty, Stephen
dc.creatorGiaquinto, Anthony
dc.date2000-11-21
dc.date2001-01-05
dc.date.accessioned2026-07-07T04:38:44Z
dc.date.available2026-07-07T04:38:44Z
dc.descriptionWe 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.
dc.description22 pages, submitted to the Journal of Algebra, (proof of Theorem 2.6 revised)
dc.identifierhttps://arxiv.org/abs/math/0011164
dc.identifierhttp://arxiv.org/abs/math/0011164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60398
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject16S30, 16P10
dc.titlePresenting quantum Schur algebras as quotients of the quantized universal enveloping algebra of gl(2)
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