Demonstrates bounded multiplicity in irreducible representations of semisimple Lie groups, indicating significant implications for representation theory.
We prove that any simply connected non-compact semisimple Lie group G admits an infinite-dimensional irreducible representation with bounded multiplicity property of the restriction | G for all symmetric pairs (G, G ).We also discuss which irreducible representations satisfy the bounded multiplicity property.
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T. Kobayashi (2023) studied this question.
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