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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 145, Number 3, Pages 291–320
DOI: https://doi.org/10.4213/tmf1902 (Mi tmf1902) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Cohomology of the Poisson Superalgebra on Spaces of Superdimension $(2,n_-)$

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/tmf1902
Abstract: Under certain assumptions about the continuity of cochains, we study the cohomology spaces of a Poisson superalgebra realized on the space of smooth Grassmann-valued functions with compact support in $\mathbb{R}^2$. We find the zeroth, first, and second cohomology spaces in the adjoint representation in the case of a constant nondegenerate Poisson superbracket.
Keywords: Grassmann algebra, Poisson superalgebra, cohomology, deformation, $*$-commutator, quantization.
Received: 25.03.2005
English version:
Theoretical and Mathematical Physics, 2005, Volume 145, Issue 3, Pages 1619–1645
DOI: https://doi.org/10.1007/s11232-005-0187-6
Bibliographic databases:
Language: Russian
Citation: S. E. Konstein, I. V. Tyutin, “Cohomology of the Poisson Superalgebra on Spaces of Superdimension $(2,n_-)$”, TMF, 145:3 (2005), 291–320; Theoret. and Math. Phys., 145:3 (2005), 1619–1645
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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