Finite multiplicity theorems for induced representations of semisimple Lie groups and their applications to generalized Gelfand-Graev representations

DOI10.3792/pjaa.63.153zbMath0636.22010OpenAlexW2030936253WikidataQ115219943 ScholiaQ115219943MaRDI QIDQ1097978

Hiroshi Yamashita

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.63.153

zbMATH Keywords

real semisimple Lie groupinduced representationsGelfand-Graev representationsparabolic subgroupCartan involutionfinite multiplicity propertyirreducible Hermitian symmetric spacesLevi component

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (2)

Whittaker models for highest weight representations of semisimple Lie groups and embeddings into the principal series ⋮ On generalized Whittaker functions on Siegel’s upper half space of degree 2

Cites Work

• Unnamed Item
• Whittaker models for highest weight representations of semisimple Lie groups and embeddings into the principal series
• Invariant differential operators on a semisimple symmetric space and finite multiplicities in a Plancherel formula
• Abstract Plancherel theorems and a Frobenius reciprocity theorem
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• On Whittaker vectors for generalized Gelfand-Graev representations of semisimple Lie groups

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