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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 155, Number 1, Pages 109–116
DOI: https://doi.org/10.4213/tmf6196 (Mi tmf6196) 		 
Deformations of the nondegenerate constant Poisson bracket and antibracket on superspaces of an arbitrary superdimension

S. E. Konstein, I. V. Tyutin

P. N. Lebedev Physical Institute, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/tmf6196
Abstract: We consider {(}anti-{\rm)}Poisson superalgebras with a constant nondegenerate {\rm(}anti{\rm)}bracket realized on smooth Grassmann-valued functions with compact supports in $\mathbb{R}^n$ and find the deformations of these superalgebras and their central extensions.
Keywords: Poisson superalgebra, anti-Poisson superalgebra, superbracket deformation, superalgebra cohomology, quantization.
English version:
Theoretical and Mathematical Physics, 2008, Volume 155, Issue 1, Pages 598–605
DOI: https://doi.org/10.1007/s11232-008-0049-0
Bibliographic databases:
Language: Russian
Citation: S. E. Konstein, I. V. Tyutin, “Deformations of the nondegenerate constant Poisson bracket and antibracket on superspaces of an arbitrary superdimension”, TMF, 155:1 (2008), 109–116; Theoret. and Math. Phys., 155:1 (2008), 598–605
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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