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

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In 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.
72 pages, 10 figures

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Representation Theory, Group Theory, Metric Geometry, 22E46; 20G15; 14L24; 20E42

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http://salesiana.dossiersoluciones.com/handle/123456789/163916

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411182
 http://arxiv.org/abs/math/0411182

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arXiv