Alcoves associated to special fibers of local models

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dc.creatorHaines, T.
dc.creatorNgo, B. C.
dc.date2001-03-07
dc.date.accessioned2026-07-07T04:40:32Z
dc.date.available2026-07-07T04:40:32Z
dc.descriptionThe special fiber of the local model of a PEL Shimura variety with Iwahori-type level structure admits a cellular decomposition. The set of strata is in a natural way a finite subset of the affine Weyl group determined by the Shimura data. In this paper, we generalize and give a new proof of a theorem of Kottwitz and Rapoport concerning the description of this set for the case of linear and symplectic groups. For higher rank groups not of type A_n, we produce counterexamples showing the situation is not as nice in general. Also, we recover a theorem of Deodhar characterizing the Bruhat order on S_n.
dc.description3 figures
dc.identifierhttps://arxiv.org/abs/math/0103048
dc.identifierhttp://arxiv.org/abs/math/0103048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61057
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.titleAlcoves associated to special fibers of local models
dc.typetext

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