Invariant differential operators on symmetric spaces. I: Orbit methods

DOI10.1006/jfan.1993.1124zbMath0803.43003OpenAlexW2022366886MaRDI QIDQ1316367

Charles Torossian

Publication date: 8 November 1994

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

Full work available at URL: https://doi.org/10.1006/jfan.1993.1124

zbMATH Keywords

charactersLie algebrapolarizationinvariant differential operatorssymmetric spacelinear algebraic groupdistribution vectorsPukanszky's conditiongeneralized Harish-Chandra homomorphismrational involution

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Sheaves of differential operators and their modules, (D)-modules (32C38) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Differential geometry of symmetric spaces (53C35)

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Biquantization of symmetric pairs and the quantum shift ⋮ Covariant quantization: spectral analysis versus deformation theory ⋮ W-algebras and Duflo isomorphism ⋮ L'homomorphisme de Harish-Chandra pour les paires symétriques orthogonales et parties radiales des opérateurs différentiels invariants sur les espaces symétriques

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