Galleries, Hall-Littlewood polynomials and structure constants of the spherical Hecke algebra

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dc.creatorSchwer, Christoph
dc.date2005-06-15
dc.date2006-10-10
dc.date.accessioned2026-07-07T08:06:59Z
dc.date.available2026-07-07T08:06:59Z
dc.descriptionWe provide a combinatorial description of the coefficients appearing in the expansion of Hall-Littlewood polynomials in terms of monomial symmetric functions. We also give a Littlewood-Richardson rule for Hall-Littlewood polynomials. For proving this we use galleries to calculate Satake coefficients and structure constants of spherical Hecke algebras with arbitrary parameters.
dc.description28 pages, v3: revised version, to appear in IMRN
dc.identifierhttps://arxiv.org/abs/math/0506287
dc.identifierhttp://arxiv.org/abs/math/0506287
dc.identifierIMRN, Volume 2006 (2006)
dc.identifierdoi:10.1155/IMRN/2006/75395
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130794
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.subject05E05;33D52
dc.titleGalleries, Hall-Littlewood polynomials and structure constants of the spherical Hecke algebra
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