Étude de certaines représentations induites d'un groupe de Lie résoluble exponentiel

DOI10.24033/asens.1197zbMath0221.22014OpenAlexW2302528982MaRDI QIDQ5625490

Michèle Vergne

Publication date: 1970

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1970_4_3_3_353_0

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Lie algebras of Lie groups (22E60) Unitary representations of locally compact groups (22D10)

Related Items (11)

Hermitian Lie Algebras and Metaplectic Representations. I ⋮ Orbital Parameters for Induced and Restricted Representations ⋮ Monomial representations of certain exponential Lie groups ⋮ Sur les restrictions des représentations unitaires des groupes de Lie résolubles exponentiels. (On the restrictions of unitary representations of exponential solvable Lie groups) ⋮ On holomorphically induced representations of split solvable Lie groups ⋮ On holomorphically induced representations of exponential groups ⋮ Holomorphically induced representations of some solvable Lie groups ⋮ Équations de Cauchy-Riemann tangentielles associées à un domaine de Siegel ⋮ The Plancherel formula for complex algebraic unimodular groups ⋮ Representations of certain solvable Lie groups on Hilbert spaces of holomorphic functions and the application to the holomorphic discrete series of a semisimple Lie group ⋮ Polarisations réelles et représentations associées d'un groupe de Lie résolube. (Real polarizations and associated representations of a solvable Lie group.)

Cites Work

• Unitary representations of group extensions. I
• On the unitary representations of exponential groups
• L'application exponentielle dans les groupes de Lie résolubles
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Sur les représentations unitaires des groupes de Lie résolubles
• On the Theory of Exponential Groups
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