Geodesic
Bounded Multiplicity Branching for Symmetric Pairs
Journal of Lie theory, Tome 33 (2023) no. 1, pp. 305-328
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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 
@article{JLT_2023_33_1_JLT_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},
     url = {http://geodesic.mathdoc.fr/item/JLT_2023_33_1_JLT_2023_33_1_a13/}
}
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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/JLT_2023_33_1_JLT_2023_33_1_a13/