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• W2964391738 abstract "Let $G$ be a real reductive Lie group, $L$ a compact subgroup, and $pi$ an irreducible admissible representation of $G$. In this article we prove a necessary and sufficient condition for the finiteness of the multiplicities of $L$-types occurring in $pi$ based on symplectic techniques. This leads us to a simple proof of the criterion for discrete decomposability of the restriction of unitary representations with respect to noncompact subgroups (the author, Ann. Math. 1998), and also provides a proof of a reverse statement which was announced in [Proc.ICM 2002, Thm.D]. A number of examples are presented in connection with Kostant's convexity theorem and also with non-Riemannian locally symmetric spaces." @default.
• W2964391738 created "2019-08-13" @default.
• W2964391738 creator A5041756388 @default.
• W2964391738 date "2019-07-30" @default.
• W2964391738 modified "2023-09-27" @default.
• W2964391738 title "Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discretely decomposability" @default.
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• W2964391738 hasPublicationYear "2019" @default.
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