Covariant deformations on polarized orbits of a Lie group

DOI10.1016/0393-0440(94)90039-6zbMath0834.22015OpenAlexW2035907796MaRDI QIDQ1340160

Jean Ludwig, Didier Arnal, Mohsen Masmoudi

Publication date: 5 March 1996

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(94)90039-6

zbMATH Keywords

Lie algebrapolarizationKähler manifoldcoadjoint orbitstar-productreal Lie groupdeformation parameter

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Applications of Lie groups to the sciences; explicit representations (22E70) Deformations of general structures on manifolds (58H15) Formal methods and deformations in algebraic geometry (14D15)

Related Items (1)

Subalgebras with converging star products in deformation quantization: An algebraic construction for C P n

Cites Work

• Pukanszky's condition and symplectic induction
• *-products in the method of orbits for nilpotent groups
• On the symplectic structure of coadjoint orbits of (solvable) Lie groups and applications. I
• Deformation theory and quantization. II: Physical applications
• Deformations on coadjoint orbits
• Covariant star-products
• On the deformation of rings and algebras
• Covariance and geometrical invariance in *quantization
• Variétés de Poisson et feuilletages
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