Représentations tempérées des groupes de Lie nilpotents. (Tempered representations of nilpotent Lie groups)

DOI10.1016/0022-1236(89)90043-8zbMath0701.22004OpenAlexW2087843191MaRDI QIDQ913961

Fokko du Cloux

Publication date: 1989

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90043-8

zbMATH Keywords

Lie algebraKirillov's orbit methodirreducible unitary representationtempered representationsconnected, simply connected nilpotent Lie groupcontinuous semi-normdifferentiable representationtempered differentiable G-modules

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Analysis on other specific Lie groups (43A80) Differential spaces (58A40)

Related Items (6)

Sur les représentations différentiables des groupes de Lie algébriques ⋮ Two-parameter lifting theorems and double Hilbert transforms in commutative and non-commutative settings ⋮ Topologically irreducible representations of the Schwartz-algebra of a nilpotent Lie group ⋮ On representations of real Jacobi groups ⋮ Schwartz homologies of representations of almost linear Nash groups ⋮ Conservation relations for local theta correspondence

Cites Work

• Homology of Lie groups and Poincaré duality
• Jets de fonctions differentiables sur le dual d'un groupe de Lie nilpotent. (Jets of differentiable functions on the dual of a nilpotent Lie group)
• On a connection between nilpotent groups and oscillatory integrals associated to singularities
• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• On the deformation of rings and algebras
• Sur certains espaces vectoriels topologiques
• Sur les représentations induites des groupes de Lie
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Représentations tempérées des groupes de Lie nilpotents. (Tempered representations of nilpotent Lie groups)