Geodesic
Bounded Multiplicity Theorems for Induction and Restriction
Toshiyuki Kobayashi1
1Graduate School of Mathematical Sciences and Kavli IPMU (WPI), University of Tokyo, Komaba, Japan
Journal of Lie Theory, Tome 32 (2022) no. 1, pp. 197-238

Voir la notice de l'article provenant de la source Heldermann Verlag

We prove a geometric criterion for the bounded multiplicity property of ``small'' infinite-dimensional representations of real reductive Lie groups in both induction and restrictions. Applying the criterion to symmetric pairs, we give a full description of the triples $H \subset G \supset G'$ such that any irreducible admissible representations of $G$ with $H$-distinguished vectors have the bounded multiplicity property when restricted to the subgroup $G'$. This article also completes the proof of the general results announced in a previous paper of the author [Advances Math. 388 (2021), art.\,no.\,107862].
Classification : 22E46, 22E45, 53D50, 58J42, 53C50
Mots-clés : Branching law, multiplicity, reductive group, symmetric pair, visible action, spherical variety

Toshiyuki Kobayashi  1

1 Graduate School of Mathematical Sciences and Kavli IPMU (WPI), University of Tokyo, Komaba, Japan 
Toshiyuki Kobayashi. Bounded Multiplicity Theorems for Induction and Restriction. Journal of Lie Theory, Tome 32 (2022) no. 1, pp. 197-238. http://geodesic.mathdoc.fr/item/JOLT_2022_32_1_a10/
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     title = {Bounded {Multiplicity} {Theorems} for {Induction} and {Restriction}},
     journal = {Journal of Lie Theory},
     pages = {197--238},
     year = {2022},
     volume = {32},
     number = {1},
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