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arXiv · 1007.3803

Applications des immeubles en th\'eorie des repr\'esentations

Stéphane Gaussent·Cyril Charignon·Nicole Bardy-Panse·Guy Rousseau
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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.

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BibTeXRIS

Stéphane Gaussent, Cyril Charignon, Nicole Bardy-Panse, Guy Rousseau. 2010-07-22. Applications des immeubles en th\'eorie des repr\'esentations. https://arxiv.org/abs/1007.3803

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