Hochschild cohomologies and deformations of the pointwise superproduct

DOI10.1007/S11232-009-0022-6zbMath1176.81069OpenAlexW2048568854MaRDI QIDQ1034420

I. V. Tyutin, S. E. Konshteĭn, Alexander G. Smirnov

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1007/s11232-009-0022-6

zbMATH Keywords

Hochschild cohomologydeformation quantizationquantum mechanicssuperalgebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Cohomology of Lie (super)algebras (17B56)

Cites Work

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• On the equivalence between continuous and differential deformation theories
• General form of the deformation of the Poisson superbracket on a \((2, n)\)-dimensional superspace
• Déformation du crochet de Poisson sur une variété symplectique
• Deformation theory and quantization. I: Deformations of symplectic structures
• Deformation quantization of Poisson manifolds
• Hochschild cohomologies of the algebra of smooth functions
• Cohomology of a Poisson algebra
• How to quantize the antibracket
• General form of the \(*\)-product on the Grassmann algebra

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