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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 158, Number 3, Pages 323–346
DOI: https://doi.org/10.4213/tmf6317 (Mi tmf6317) 		 
Hochschild cohomologies and deformations of the pointwise superproduct

S. E. Konsteina, A. G. Smirnova, I. V. Tyutinab

a P. N. Lebedev Physical Institute, Russian Academy of Sciences
b Universidade de São Paulo
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DOI: https://doi.org/10.4213/tmf6317
Abstract: We consider the associative superalgebra of smooth compactly supported functions on $\mathbb R^n$ taking values in a Grassmann algebra. We find the lower Hochschild cohomologies and also the deformations of this superalgebra under certain additional conditions.
Keywords: deformation quantization, quantum mechanics, superalgebra, Hochschild cohomology.
Received: 24.06.2009
English version:
Theoretical and Mathematical Physics, 2009, Volume 158, Issue 3, Pages 271–292
DOI: https://doi.org/10.1007/s11232-009-0022-6
Bibliographic databases:
Language: Russian
Citation: S. E. Konstein, A. G. Smirnov, I. V. Tyutin, “Hochschild cohomologies and deformations of the pointwise superproduct”, TMF, 158:3 (2009), 323–346; Theoret. and Math. Phys., 158:3 (2009), 271–292
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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