Bounded multiplicity branching for symmetric pairs

Kavli Affiliate: Toshiyuki Kobayashi

| First 5 Authors: Toshiyuki Kobayashi, , , ,

| Summary:

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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