Bounded Multiplicity Branching for Symmetric Pairs

JOURNAL OF LIE THEORY(2023)

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摘要
We prove that any simply connected non-compact semisimple Lie group G admits an infinite-dimensional irreducible representation p with bounded multiplicity property of the restriction p|(G'') for all symmetric pairs (G, G''). We also discuss which irreducible representations p satisfy the bounded multiplicity property. Mathematics Subject Classification: Primary 22E46; secondary 22E45, 53C35, 32M15, 53C15.
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关键词
Branching problem,symmetric pair,reductive group,visible action,spherical variety,multiplicity,minimal representation
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