On the Kazhdan-Lusztig basis of a spherical Hecke algebra

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dc.creatorKnop, Friedrich
dc.date2004-03-03
dc.date2005-03-30
dc.date.accessioned2026-07-07T06:29:25Z
dc.date.available2026-07-07T06:29:25Z
dc.descriptionLusztig proved that the Kazhdan-Lusztig basis of a spherical Hecke algebra can be essentially identified with the Weyl characters of the Langlands dual group. We generalize this result to the unequal parameter case. The new proof is pretty simple and quite different from Lusztig's.
dc.descriptionv1: 10 pages; v2: 11 pages, minor stylistic changes, the main theorem is a little bit stronger
dc.identifierhttps://arxiv.org/abs/math/0403066
dc.identifierhttp://arxiv.org/abs/math/0403066
dc.identifierRepresent. Theory 9 (2005) 417-425
dc.identifierdoi:10.1090/S1088-4165-05-00237-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98027
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject20C08
dc.titleOn the Kazhdan-Lusztig basis of a spherical Hecke algebra
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