On tangential star products for the coadjoint Poisson structure

DOI10.1007/BF02101183zbMath0859.17017OpenAlexW1986187994MaRDI QIDQ1924095

Simone Gutt, Michel Cahen, John H. Rawnsley

Publication date: 25 November 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02101183

zbMATH Keywords

Poisson structurestar producttangential dual Lie algebratwo-step nilpotent ideal

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55) Poisson algebras (17B63)

Related Items

Deformation quantization on the closure of minimal coadjoint orbits ⋮ Traces for Star Products on the Dual of a Lie Algebra ⋮ On tangential properties of the Gutt \(*\)-product ⋮ Differential operators on a Riemann surface with projective structure ⋮ Fedosov's formal symplectic groupoids and contravariant connections ⋮ Advances in quantization: quantum tensors, explicit star-products, and restriction to irreducible leaves

Cites Work

• Unnamed Item
• The local structure of Poisson manifolds
• Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
• Weyl manifolds and deformation quantization
• Normal forms for smooth Poisson structures
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Tangential formal deformations of the Poisson bracket and tangential star products on a regular Poisson manifold
• Nonlinearizability of the Iwasawa Poisson Lie structure
• Déformation du crochet de Poisson sur une variété symplectique
• Deformation theory and quantization. I: Deformations of symplectic structures
• A simple geometrical construction of deformation quantization
• On the Nonlinear Convexity Theorem of Kostant
• Lie-Poisson Structure on Some Poisson Lie Groups