Deformations of the nondegenerate constant Poisson bracket and antibracket on superspaces of an arbitrary superdimension

DOI10.1007/S11232-008-0049-0zbMath1158.53071OpenAlexW1979739571MaRDI QIDQ1002607

J. Martínez

Publication date: 2 March 2009

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

Full work available at URL: https://doi.org/10.1007/s11232-008-0049-0

zbMATH Keywords

quantizationPoisson superalgebraanti-Poisson superalgebrasuperalgebra cohomologysuperbracket deformation

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Deformation quantization, star products (53D55)

Cites Work

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• Cohomology of the Poisson superalgebra on spaces of superdimension \((2, n_{-})\)
• Cohomologies of the Poisson superalgebra
• General form of the deformation of the Poisson superbracket on a \((2, n)\)-dimensional superspace
• General form of the deformation of the Poisson superbracket
• Deformation theory and quantization. I: Deformations of symplectic structures
• General form of the \(\ast\)-commutator on the Grassmann algebra
• Deformation quantization of Poisson manifolds
• On the deformation of rings and algebras
• Cohomology of a Poisson algebra
• Cohomology of Lie superalgebras and their generalizations
• How to quantize the antibracket

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