[Sur une loi de branchement des représentations unitaires et une conjecture de Kobayashi]
Dans cette Note, nous considérons l'équivalence de différentes propriétés de la restriction d'une représentation unitaire irréductible d'un groupe de Lie réel réductif á un sous-groupe réductif fermé. Comme corollaire, nous prouvons une forme faible d'une conjecture de Kobayashi.
In this Note we consider the equivalence of different properties of the restriction of an irreducible unitary representation of a real reductive group to a closed reductive subgroup. As a corollary, we prove a weak form of a conjecture of Kobayashi.
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@article{CRMATH_2010__348_17-18_959_0,
author = {Fuhai Zhu and Ke Liang},
title = {On a branching law of unitary representations and a conjecture of {Kobayashi}},
journal = {Comptes Rendus. Math\'ematique},
pages = {959--962},
publisher = {Elsevier},
volume = {348},
number = {17-18},
year = {2010},
doi = {10.1016/j.crma.2010.09.006},
language = {en},
}
Fuhai Zhu; Ke Liang. On a branching law of unitary representations and a conjecture of Kobayashi. Comptes Rendus. Mathématique, Volume 348 (2010) no. 17-18, pp. 959-962. doi : 10.1016/j.crma.2010.09.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.09.006/
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