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Restrictions of irreducible unitary representations.

星期一, 28 十一月, 2005 - 11:30
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Résumé : 

Given a reductive Lie group G and P a closed subgroup an
important problem is to know if the restriction to P of an irreducible unitary representation of G is irreducible. If G=GL(n,K), K=R or C, and P is the isotropy group of the vector
(0,...,0,1), this is exactly the Kirillov's conjecture. Here we present the ideas of Barush's proof of it and how they could be solved using D-modules arguments. This point of view will permit solve the problem for other pairs (G,P) with similar properties.

Thème de recherche : 
Algèbre et géométries
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