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arXiv · 2210.13146

Bounded multiplicity branching for symmetric pairs

Toshiyuki Kobayashi
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Abstract

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 all symmetric pairs $(G, G')$. We also discuss which irreducible representations $\Pi$ satisfy the bounded multiplicity property.

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BibTeXRIS

Toshiyuki Kobayashi. 2022-10-24. Bounded multiplicity branching for symmetric pairs. https://arxiv.org/abs/2210.13146

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