DEFORMATION QUANTIZATION OF POISSON MANIFOLDS IN THE DERIVATIVE EXPANSION

DOI10.1142/S0219887809003485zbMath1170.53075arXivhep-th/0512065OpenAlexW2036766305MaRDI QIDQ3622605

A. V. Bratchikov

Publication date: 28 April 2009

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0512065

zbMATH Keywords

Lie groupdeformation quantizationPoisson manifoldBaker-Campbell-Hausdorff formuladerivative expansionstar product

Mathematics Subject Classification ID

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

Related Items

GENERALIZED INVERSION OF THE HOCHSCHILD COBOUNDARY OPERATOR AND DEFORMATION QUANTIZATION

Cites Work

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• An explicit *-product on the cotangent bundle of a Lie group
• Deformation theory and quantization. I: Deformations of symplectic structures
• A simple geometrical construction of deformation quantization
• Deformation quantization of Poisson manifolds