Explicit study of Lie group convolution algebras as deformation quantizations

DOI10.1134/S1061920807030028zbMath1193.53182WikidataQ115247733 ScholiaQ115247733MaRDI QIDQ1033710

M. Hfaiedh, Nabiha Ben Amar

Publication date: 10 November 2009

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

zbMATH Keywords

deformation quantizationstar productLie Group convolution algebras

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items (1)

Quantum field theory on quantized Bergman domain

Cites Work

• A convergent star product for linear Poisson structures
• 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
• Exotic 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
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