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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 156, Number 2, Pages 250–269
DOI: https://doi.org/10.4213/tmf6245 (Mi tmf6245) 		 
Deformations of the central extension of the Poisson superalgebra

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/tmf6245
Abstract: The Poisson superalgebra realized on smooth Grassmann-valued functions with compact support has a central extension at some values of the superdimension. We find formal deformations of these central extensions.
Keywords: Grassmann algebra, Poisson superalgebra, central extension, cohomology, deformation, quantization, $*$-commutator.
Received: 24.04.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 156, Issue 2, Pages 1180–1198
DOI: https://doi.org/10.1007/s11232-008-0088-6
Bibliographic databases:
Language: Russian
Citation: S. E. Konstein, I. V. Tyutin, “Deformations of the central extension of the Poisson superalgebra”, TMF, 156:2 (2008), 250–269; Theoret. and Math. Phys., 156:2 (2008), 1180–1198
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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