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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 155, Number 2, Pages 265–286
DOI: https://doi.org/10.4213/tmf6210 (Mi tmf6210) 		 
This article is cited in 1 scientific paper (total in 1 paper)

General form of the deformation of the Poisson superbracket on a $(2,n)$-dimensional superspace

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/tmf6210
Abstract: Up to an equivalence transformation, we describe continuous formal deformations of the Poisson superbracket defined on compactly supported smooth functions on $\mathbb R^2$ taking values in a Grassmann algebra $\mathbb G^{n_-}$.
Keywords: cohomology of Lie algebras, deformation of Lie algebras, Poisson superbracket, quantization.
Received: 04.04.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 155, Issue 2, Pages 734–753
DOI: https://doi.org/10.1007/s11232-008-0063-2
Bibliographic databases:
Language: Russian
Citation: S. E. Konstein, I. V. Tyutin, “General form of the deformation of the Poisson superbracket on a $(2,n)$-dimensional superspace”, TMF, 155:2 (2008), 265–286; Theoret. and Math. Phys., 155:2 (2008), 734–753
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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