Représentations cohomologiques isolées, applications cohomologiques

Details Représentations cohomologiques isolées, applications cohomologiques Représentations cohomologiques isolées, applications cohomologiques

2005-11-28

arxiv.org/abs/math/0511689v1

Mathematics

Representation Theory

39 pages

Scientific paper

We give a new proof of a Theorem of Vogan which classify the cohomological representations of a real semisimple Lie group $G$ which are isolated in the unitary dual of $G$. We investigate the same question in the automorphic dual, and obtain partial results. We derive applications of all this results (or conjectures) to the study of the cohomology of arithmetic locally symmetric spaces.

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