Finite multiplicity theorems for induced representations of semisimple Lie groups. II: Applications to generalized Gelfand-Graev representations

DOI10.1215/KJM/1250520400zbMath0734.22005OpenAlexW1494704398WikidataQ115240399 ScholiaQ115240399MaRDI QIDQ810647

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/1250520400

zbMATH Keywords

semisimple Lie groupsinduced representationsnilpotent orbitsdiscrete series representationsnilpotent subgroupleft regular representationfinite multiplicity propertygeneralized Gelfand- Graev representationsKirillov constructionsimple Lie groups of hermitian type

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) Induced representations for locally compact groups (22D30)

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