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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf1902https://doi.org/10.4213/tmf1902 https://www.mathnet.ru/eng/tmf/v145/i3/p291
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Abstract page: | 359 | Full-text PDF : | 174 | References: | 49 | First page: | 3 |
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