On deformations of a subalgebra of the Poisson Lie algebra \(C^{\infty}({\mathbb{R}}^{2n})\)

DOI10.1007/BF00402664zbMath0603.17010WikidataQ115395039 ScholiaQ115395039MaRDI QIDQ1082421

J. C. Cortet, Mounir Marrakchi

Publication date: 1986

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

zbMATH Keywords

deformationsinfinite-dimensional Poisson subalgebraLie algebra of complex polynomial functionsMoyal bracket

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Deformations of general structures on manifolds (58H15) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Cohomology of Lie (super)algebras (17B56)

Cites Work

• Equivalence of deformations and associated *-products
• Deformation theory and quantization. I: Deformations of symplectic structures

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