General form of the deformation of the Poisson superbracket

DOI10.1007/s11232-006-0097-2zbMath1177.53074OpenAlexW2089637514MaRDI QIDQ1047037

J. Blot

Publication date: 3 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-006-0097-2

zbMATH Keywords

deformationquantizationcohomologiescentral extensionGrassmann algebraPoisson superalgebra*-commutator

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63)

Related Items (6)

Cohomologies of the Poisson superalgebra ⋮ Cohomologies of spaces of Schwartz test functions ⋮ General form of the deformation of the Poisson superbracket on a \((2, n)\)-dimensional superspace ⋮ Deformations of the central extension of the Poisson superalgebra ⋮ Deformations of the nondegenerate constant Poisson bracket and antibracket on superspaces of an arbitrary superdimension ⋮ Lie Superalgebra Structures in H? (g;g)

Cites Work

• Cohomologies of the Poisson superalgebra
• Deformation theory and quantization. I: Deformations of symplectic structures
• General form of the \(\ast\)-commutator on the Grassmann algebra
• On the deformation of rings and algebras
• General solution to the associativity equation in the Euclidean phase space
• How to quantize the antibracket

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