Geodesic
Lie Algebras/Harmonic Analysis
On a branching law of unitary representations and a conjecture of Kobayashi
[Sur une loi de branchement des représentations unitaires et une conjecture de Kobayashi]

Présenté par : Michel Duflo

Zhu, Fuhai1 ; Liang, Ke1
1 School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
Comptes Rendus. Mathématique, Tome 348 (2010) no. 17-18, pp. 959-962.

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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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.09.006

Zhu, Fuhai 1 ; Liang, Ke 1

1 School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China 
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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://geodesic.mathdoc.fr/articles/10.1016/j.crma.2010.09.006/

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