La formule du caractère pour les groupes de Lie presque algébriques réels. (Character formula for almost algebraic groups over the reals)

DOI10.5802/aif.1920zbMath1024.22006OpenAlexW2327961684MaRDI QIDQ1863982

Pierre Torasso, Mohamed Salah Khalgui

Publication date: 12 March 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2002__52_5_1301_0

zbMATH Keywords

Fourier transformcoadjoint orbitLiouville measureunitary irreducible representationsalmost algebraic group

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (3)

Character formula and Plancherel formula for solvable almost connected Lie groups over a \(p\)-adic field ⋮ Character formula of representations associated with a closed orbit ⋮ The Plancherel formula for real almost algebraic Lie groups

Cites Work

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• The Plancherel formula for complex algebraic unimodular groups
• Théorie de Mackey pour les groupes de Lie algébriques
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• On the regular representation of a nonunimodular locally compact group
• Harmonic analysis on real reductive groups
• Semicharacters and solvable Lie groups
• The character of the metaplectic representation and the character formula for certain representations of an almost algebraic Lie group over a \(p\)-adic field
• The Poisson- Plancherel formula for a real semialgebraic group. I: Fourier transform of orbital integrals
• Sur les caractères des groupes de Lie. (On the characters of Lie groups)
• Caractères des groupes de Lie
• The characters of unitary representations of Lie groups
• Characters of the unitary representations of Lie groups: reduction theorems
• Caractères des représentations factorielles normales d'un groupe de Lie connexe
• Projection d'orbites, formule de Kirillov et formule de Blattner
• Sur les caractères des groupes de Lie à radical cocompact
• Sur l'analyse harmonique sur les groupes de Lie résolubles
• Invariant Eigendistributions on a Semisimple Lie Group
• Unitary representations of solvable Lie groups

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