A convergent star product for linear Poisson structures

DOI10.1134/S1061920807010025zbMath1122.53052MaRDI QIDQ871796

M. Hfaiedh, Nabiha Ben Amar

Publication date: 26 March 2007

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

deformation quantizationstar productlinear Poisson structure

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55)

Related Items (1)

Explicit study of Lie group convolution algebras as deformation quantizations

Cites Work

• Unnamed Item
• Unnamed Item
• A comparison between Rieffel's and Kontsevich's deformation quantizations for linear Poisson tensors
• An explicit *-product on the cotangent bundle of a Lie group
• Continuous fields of \(C^*\)-algebras coming from group cocycles and actions
• Déformation du crochet de Poisson sur une variété symplectique
• Deformation theory and quantization. I: Deformations of symplectic structures
• Cohomology of good graphs and Kontsevich linear star products
• Operads and motives in deformation quantization
• Deformation quantization of Heisenberg manifolds
• Deformation quantization of Poisson manifolds
• Tangential deformations on the dual of nilpotent special Lie algebras
• Lie Group Convolution Algebras as Deformation Quantizations of Linear Poisson Structures
• Variétés de Poisson et feuilletages
• Kontsevich's wheels and invariant polynomial functions on the dual of Lie algebras
• \(\mathfrak g\)-relative star products
• Vanishing of the Kontsevich integrals of the wheels

This page was built for publication: A convergent star product for linear Poisson structures