Unitary Representations of Lie Groups with Cocompact Radical and Applications

DOI10.2307/1997773zbMath0389.22009OpenAlexW4253065653MaRDI QIDQ4170931

L. Pukanszky

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1997773

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Unitary representations of locally compact groups (22D10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (21)

Représentations unitaires et opérateurs à trace. (Unitary representations and traceable operators) ⋮ Orbital Parameters for Induced and Restricted Representations ⋮ Geometric models for the spectra of certain Gelfand pairs associated with Heisenberg groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An orbit model for the spectra of nilpotent Gelfand pairs ⋮ Unnamed Item ⋮ Extensions des représentations des groupes de Lie construites par M. Duflo ⋮ Unnamed Item ⋮ The space of bounded spherical functions on the free 2-step nilpotent Lie group ⋮ Unnamed Item ⋮ Simple quotients of group $C^*$-algebras for two step nilpotent groups and connected Lie groups ⋮ AF‐embeddability for Lie groups with T1 primitive ideal spaces ⋮ Semicharacters and solvable Lie groups ⋮ Caractères des groupes de Lie ⋮ Rank and duality in representation theory ⋮ Caractères des représentations factorielles normales d'un groupe de Lie connexe ⋮ Sur les caractères des groupes de Lie à radical cocompact ⋮ Identity excluding groups ⋮ Unnamed Item ⋮ Composition series of \(C^*(G)\) and \(C_ c^{\infty}(G)\), where G is a solvable Lie group

Cites Work

• Unnamed Item
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• Unitary representations of group extensions. I
• Characters of connected Lie groups
• Groups with \(T_1\) primitive ideal spaces
• On the characters and the Plancherel formula of nilpotent groups
• Characters of algebraic solvable groups
• Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore
• Lie groups with completely continuous representations
• The CCR Property for Algebraic Groups
• Dual topology of a nilpotent Lie group
• Sur Les Representations Unitaires des Groupes de Lie Nilpotents. VI
• Sur la représentation régulière d'un groupe localement compact connexe
• Unitary representations of solvable Lie groups
• Quantization and unitary representations
• Unitary representations of solvable Lie groups
• Sur les extensions des représentations irréductibles des groupes de Lie nilpotents
• Action of algebraic groups of automorphisms on the dual of a class of type ${\rm I}$ groups
• Locally Compact Transformation Groups
• Representations of semisimple Lie groups. II

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