A combinatorial formula for Macdonald polynomials

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dc.creatorRam, Arun
dc.creatorYip, Martha
dc.date2008-03-05
dc.date.accessioned2026-07-07T09:25:41Z
dc.date.available2026-07-07T09:25:41Z
dc.descriptionIn this paper we use the combinatorics of alcove walks to give a uniform combinatorial formula for Macdonald polynomials for all Lie types. These formulas are generalizations of the formulas of Haglund-Haiman-Loehr for Macdonald polynoimals of type GL(n). At q=0 these formulas specialize to the formula of Schwer for the Macdonald spherical function in terms of positively folded alcove walks and at q=t=0 these formulas specialize to the formula for the Weyl character in terms of the Littelmann path model (in the positively folded gallery form of Gaussent-Littelmann).
dc.identifierhttps://arxiv.org/abs/0803.1146
dc.identifierhttp://arxiv.org/abs/0803.1146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156486
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.subject05E05, 33D52
dc.titleA combinatorial formula for Macdonald polynomials
dc.typetext

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