A path model for geodesics in Euclidean buildings and its applications to representation theory
Representation Theory
2008-07-01 v2 Group Theory
Metric Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0411182,
title = {A path model for geodesics in Euclidean buildings and its applications to representation theory},
author = {Michael Kapovich and John J. Millson},
journal= {arXiv preprint arXiv:math/0411182},
year = {2008}
}
Comments
72 pages, 10 figures