Buildings and Hecke algebras

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dc.creatorParkinson, James
dc.date2006-04-04
dc.date.accessioned2026-07-07T07:10:28Z
dc.date.available2026-07-07T07:10:28Z
dc.descriptionThis paper investigates the connections between buildings and Hecke algebras through the combinatorial study of two algebras spanned by averaging operators on buildings. As a consequence we obtain a geometric and combinatorial description of certain Hecke algebras, and in particular of the Macdonald spherical functions and the center of affine Hecke algebras. The results of this paper are used in later work to study spherical harmonic analysis on affine buildings, and to study isotropic random walks on affine buildings.
dc.identifierhttps://arxiv.org/abs/math/0604056
dc.identifierhttp://arxiv.org/abs/math/0604056
dc.identifierJournal of Algebra 297 (2006) 1-49
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111432
dc.subjectRepresentation Theory
dc.subject20E42; 20C08; 33D52
dc.titleBuildings and Hecke algebras
dc.typetext

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