Journal of Lie Theory

no. 1
Bounded Multiplicity Branching for Symmetric Pairs
Journal of Lie Theory, Volume 33 (2023) no. 1, pp. 305-328
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.
DOI: 10.5802/jolt.1285
Classification: 22E46, 22E45, 53C35, 32M15, 53C15
Keywords: Branching problem, symmetric pair, reductive group, visible action, spherical variety, multiplicity, minimal representation 
@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},
     doi = {10.5802/jolt.1285},
     zbl = {1552.22053},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1285/}
}
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T. Kobayashi. Bounded Multiplicity Branching for Symmetric Pairs. Journal of Lie Theory, Volume 33 (2023) no. 1, pp. 305-328. doi: 10.5802/jolt.1285

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