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.
Accepted:
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Fuhai Zhu 1; Ke Liang 1
@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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