On the lowest two-sided cell in affine Weyl groups

dc.creatorGuilhot, Jeremie
dc.date2007-03-26
dc.date2008-09-23
dc.date.accessioned2026-07-07T10:04:28Z
dc.date.available2026-07-07T10:04:28Z
dc.descriptionBremke and Xi determined the lowest two-sided cell for affine Weyl groups with unequal parameters and showed that it consists of at most |W_{0}| left cells where W_{0} is the associated finite Weyl group. We prove that this bound is exact. Previously, this was known in the equal parameter case and when the parameters were coming from a graph automorphism. Our argument uniformly works for any choice of parameters.
dc.description18 pages, 1 figure, final version (minor changes). To appear in Representation theory
dc.identifierhttps://arxiv.org/abs/math/0703764
dc.identifierhttp://arxiv.org/abs/math/0703764
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169690
dc.subjectRepresentation Theory
dc.titleOn the lowest two-sided cell in affine Weyl groups
dc.typetext

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