Geodesic
Bounded Multiplicity Branching for Symmetric Pairs
Journal of Lie Theory, Tome 33 (2023) no. 1, pp. 305-328

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

Zbl   arXiv

We prove that any simply connected non-compact semisimple Lie group $G$ admits an infinite-dimensional irreducible representation $\Pi$ with bounded multiplicity property of the restriction $\Pi|_{G'}$ for {\it all} symmetric pairs $(G, G')$. We also discuss which irreducible representations $\Pi$ satisfy the bounded multiplicity property.
Classification : 22E46, 22E45, 53C35, 32M15, 53C15
Mots-clés : Branching problem, symmetric pair, reductive group, visible action, spherical variety, multiplicity, minimal representation 
T. Kobayashi. Bounded Multiplicity Branching for Symmetric Pairs. Journal of Lie Theory, Tome 33 (2023) no. 1, pp. 305-328. http://geodesic.mathdoc.fr/item/JOLT_2023_33_1_a13/
@article{JOLT_2023_33_1_a13,
     author = {T. Kobayashi},
     title = {Bounded {Multiplicity} {Branching} for {Symmetric} {Pairs}},
     journal = {Journal of Lie Theory},
     pages = {305--328},
     year = {2023},
     volume = {33},
     number = {1},
     zbl = {1552.22053},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2023_33_1_a13/}
}
TY  - JOUR
AU  - T. Kobayashi
TI  - Bounded Multiplicity Branching for Symmetric Pairs
JO  - Journal of Lie Theory
PY  - 2023
SP  - 305
EP  - 328
VL  - 33
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JOLT_2023_33_1_a13/
ID  - JOLT_2023_33_1_a13
ER  - 
%0 Journal Article
%A T. Kobayashi
%T Bounded Multiplicity Branching for Symmetric Pairs
%J Journal of Lie Theory
%D 2023
%P 305-328
%V 33
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2023_33_1_a13/
%F JOLT_2023_33_1_a13