Deformation quantization of Poisson algebras

DOI10.3792/PJAA.68.97zbMath0768.58018OpenAlexW1980062029MaRDI QIDQ1201489

Akira Yoshioka, Yoshiaki Maeda, Hideki Omori

Publication date: 17 January 1993

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.68.97

zbMATH Keywords

deformation quantizationPoisson bracketobstructionsde Rham-Chevalley cohomology groupHochschild coboundary operator

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Cohomology of Lie (super)algebras (17B56) Geometric quantization (53D50)

Cites Work

• Unnamed Item
• Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
• Weyl manifolds and deformation quantization
• Poisson manifolds and the Schouten bracket
• C*-algebras associated with irrational rotations
• Les variétés de Poisson et leurs algèbres de Lie associees

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