Method of orbits in the representation theory of complex Lie groups

DOI10.1007/BF01082375zbMath0467.22008WikidataQ115394234 ScholiaQ115394234MaRDI QIDQ1155733

V. A. Ginzburg

Publication date: 1981

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

convolutionpolarizationsFourier transformationorbit methodG-invariant polynomialsPukansky condition

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) General properties and structure of complex Lie groups (22E10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Analysis on other specific Lie groups (43A80)

Related Items (8)

AN EXPLICIT FORMULA FOR PBW QUANTIZATION ⋮ On the symplectic structure of coadjoint orbits of (solvable) Lie groups and applications. I ⋮ Universal corner symmetry and the orbit method for gravity ⋮ Almost sure convergence of iterates of contractions in noncommutative \(L_ 2\)-spaces ⋮ An ergodic theorem for functions of normal operators ⋮ The Plancherel formula for complex algebraic unimodular groups ⋮ Tauberian ergodic theorem for normal contraction operators ⋮ Wheels, wheeling, and the Kontsevich integral of the unknot

Cites Work

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• Characters of Lie groups. II: Real polarizations and the orbital-integral character formula
• The Campbell-Hausdorff formula and invariant hyperfunctions
• Some remarks about the associated envelope of a Lie algebra
• Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore
• Opérateurs différentiels bi-invariants sur un groupe de Lie
• La structure de Poisson sur l'algèbre symétrique d'une algèbre de Lie nilpotente

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