Applications des immeubles en théorie des représentations

Details Applications des immeubles en théorie des représentations Applications des immeubles en théorie des représentations

2010-07-22

arxiv.org/abs/1007.3803v1

Mathematics

Representation Theory

29

Scientific paper

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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