Applications des immeubles en th\'eorie des repr\'esentations
Representation Theory
2010-07-23 v1
Abstract
This is a survey about the connection between the representation theory of a semisimple group and the geometry of an affine building. The latter is, actually, associated to the Langlands'dual of the semisimple group. We deal, mainly, with the proof of the saturation theorem of Kapovich and Millson. We obtain a simplification of their proof regarding the characterization of folded triangles. The article is written in french for it is the outcome of a seminar that took place in Nancy last year.
Keywords
Cite
@article{arxiv.1007.3803,
title = {Applications des immeubles en th\'eorie des repr\'esentations},
author = {Stéphane Gaussent and Cyril Charignon and Nicole Bardy-Panse and Guy Rousseau},
journal= {arXiv preprint arXiv:1007.3803},
year = {2010}
}
Comments
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