La formule de Poisson-Plancherel pour un groupe presque algébrique à radical abélien: Cas où le stabilisateur générique est réductif

DOI10.24033/msmf.348zbMath0759.43004OpenAlexW2585265779MaRDI QIDQ3970753

Pierre Torasso

Publication date: 25 June 1992

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=MSMF_1990_2_41-42__1_0

zbMATH Keywords

latticePlancherel measurePlancherel formulaLie groupcoadjoint orbitorbital integralsPoisson summation formulacoadjoint actionsmooth compactly supported functions

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Measures on groups and semigroups, etc. (43A05) Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on other specific Lie groups (43A80)

Related Items (1)

The Plancherel formula for real almost algebraic Lie groups

Cites Work

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• A generalization of the Chevalley restriction theorem
• A Poisson-Plancherel formula for semi-simple Lie groups
• Harmonic analysis on real reductive groups
• Sur les caractères des groupes de Lie. (On the characters of Lie groups)
• Principal orbit types for algebraic transformation spaces in characteristic zero
• On orbits of algebraic groups and Lie groups
• Principal Orbit Types for Real-Analytic Transformation Groups
• A Poisson-Plancherel Formula for the Universal Covering Group With Lie Algebra of Type B n
• Further Pathologies in Algebraic Geometry

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