Bounded multiplicity branching for symmetric pairs

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 $\Pi {|}_{G^{\prime }}$ for all symmetric pairs $(G,G^{\prime })$. We also discuss which irreducible representations $\Pi$ satisfy the bounded multiplicity property.

To appear in Journal of Lie Theory. arXiv admin note: text overlap with arXiv:2204.05079

Cited by in corpus (1)

• Generating operators of symmetry breaking -- from discrete to continuous