Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials

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dc.creatorIon, Bogdan
dc.date2004-06-03
dc.date2006-10-05
dc.date.accessioned2026-07-07T06:36:49Z
dc.date.available2026-07-07T06:36:49Z
dc.descriptionWe establish a connection between (degenerate) nonsymmetric Macdonald polynomials and standard bases and dual standard bases of maximal parabolic modules of affine Hecke algebras. Along the way we prove a (weak) polynomiality result for coefficients of symmetric and nonsymmetric Macdonald polynomials.
dc.descriptionv1: 28pg. v2: 38 pg., partially rewritten, new title (old title: A Kato-Lusztig formula for non-symmetric Macdonald polynomials), a few results added, some unsubstantiated expectations removed
dc.identifierhttps://arxiv.org/abs/math/0406060
dc.identifierhttp://arxiv.org/abs/math/0406060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100212
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject33D52, 33D45, 33D80, 20C08, 17B10
dc.titleStandard bases for affine parabolic modules and nonsymmetric Macdonald polynomials
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