[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 = {Zhu, Fuhai and Liang, Ke},
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},
url = {http://www.numdam.org/articles/10.1016/j.crma.2010.09.006/}
}
TY - JOUR AU - Zhu, Fuhai AU - Liang, Ke TI - On a branching law of unitary representations and a conjecture of Kobayashi JO - Comptes Rendus. Mathématique PY - 2010 SP - 959 EP - 962 VL - 348 IS - 17-18 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2010.09.006/ DO - 10.1016/j.crma.2010.09.006 LA - en ID - CRMATH_2010__348_17-18_959_0 ER -
%0 Journal Article %A Zhu, Fuhai %A Liang, Ke %T On a branching law of unitary representations and a conjecture of Kobayashi %J Comptes Rendus. Mathématique %D 2010 %P 959-962 %V 348 %N 17-18 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2010.09.006/ %R 10.1016/j.crma.2010.09.006 %G en %F CRMATH_2010__348_17-18_959_0
Zhu, Fuhai; Liang, Ke. On a branching law of unitary representations and a conjecture of Kobayashi. Comptes Rendus. Mathématique, Tome 348 (2010) no. 17-18, pp. 959-962. doi : 10.1016/j.crma.2010.09.006. http://www.numdam.org/articles/10.1016/j.crma.2010.09.006/
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