Classification of simple modules over degenerate double Affine Hecke algebras of type A

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dc.creatorSuzuki, Takeshi
dc.date2003-04-29
dc.date.accessioned2026-07-07T04:57:34Z
dc.date.available2026-07-07T04:57:34Z
dc.descriptionWe study a class of representations over the degenerate double affine Hecke algebra of gl_n by an algebraic method. As fundamental objects in this class, we introduce certain induced modules and study some of their properties. In particular, it is shown that these induced modules have unique simple quotient modules under certain conditions. Moreover, we show that any simple module in this class is obtained as such a simple quotient, and give a classification of all the simple modules.
dc.description25pages, AMSLaTex
dc.identifierhttps://arxiv.org/abs/math/0304474
dc.identifierhttp://arxiv.org/abs/math/0304474
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67304
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleClassification of simple modules over degenerate double Affine Hecke algebras of type A
dc.typetext

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