A path model for geodesics in Euclidean buildings and its applications to representation theory

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dc.creatorKapovich, Michael
dc.creatorMillson, John J.
dc.date2004-11-08
dc.date2008-07-01
dc.date.accessioned2026-07-07T09:47:32Z
dc.date.available2026-07-07T09:47:32Z
dc.descriptionIn this paper we give a combinatorial characterization of projections of geodesics in Euclidean buildings to Weyl chambers. We apply these results to the representation theory of complex semisimple Lie groups and to spherical Hecke rings associated with nonarchimedean reductive Lie groups. Our main application is a generalization of the saturation theorem of Knutson and Tao for SL(n) to other complex semisimple Lie groups.
dc.description72 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/math/0411182
dc.identifierhttp://arxiv.org/abs/math/0411182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163916
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subjectMetric Geometry
dc.subject22E46; 20G15; 14L24; 20E42
dc.titleA path model for geodesics in Euclidean buildings and its applications to representation theory
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