Combinatorics in affine flag varieties

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dc.creatorParkinson, James
dc.creatorRam, Arun
dc.creatorSchwer, Christoph
dc.date2008-01-04
dc.date.accessioned2026-07-07T08:52:38Z
dc.date.available2026-07-07T08:52:38Z
dc.descriptionThe Littelmann path moel gives a realization of the crystals of integrable representations of symmetrizable Kac-Moody Lie algebras. Recent work of Gaussent-Littelmann and others has demonstrated a connection between this model and the geometry of the loop Grassmannian. The alcove walk model is a version of the path model which is intimately connected to the combinatorics of the affine Hecke algebra. In this paper we define a refined alcove walk model which encodes the points of the affine flag variety. We show that this combinatorial indexing naturally indexes the "cells" in generalized Mirkovic-Vilonen intersections.
dc.description21 pages,
dc.identifierhttps://arxiv.org/abs/0801.0709
dc.identifierhttp://arxiv.org/abs/0801.0709
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145346
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject20G05
dc.titleCombinatorics in affine flag varieties
dc.typetext

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