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Finite multiplicity theorems for induced representations of semisimple Lie groups. I

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Publication:810646
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DOI10.1215/kjm/1250520480zbMath0734.22004OpenAlexW1531942044WikidataQ115240398 ScholiaQ115240398MaRDI QIDQ810646

Hiroshi Yamashita

Publication date: 1988

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250520480

zbMATH Keywords

induced representationsWhittaker functionsparabolic subgroupconnected semisimple Lie groupmultiplicities of irreducible representationsLevi decompositionfinite multiplicity propertyfinite multiplicity theorems


Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Harmonic analysis and spherical functions (43A90) Induced representations for locally compact groups (22D30)


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Criteria for the finiteness of restriction of \(U({\mathfrak g})\)-modules to subalgebras and applications to Harish-Chandra modules, The generalized Whittaker functions for several admissible representations of \(Sp(2,\mathbb{R})\)



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