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This article is cited in 10 scientific papers (total in 10 papers)
General Form of the $*$-Commutator on the Grassmann Algebra
I. V. Tyutin P. N. Lebedev Physical Institute, Russian Academy of Sciences
Abstract:
The general form of the $*$-commutator on the Grassmann algebra treated as a deformation of the conventional Poisson bracket is investigated. It is shown that in addition to the Moyal $*$-commutator, there exist other deformations of the Poisson bracket on the Grassman algebra (one additional deformation for even and odd $n$, where $n$ is the number of the Grassmann algebra generators) that are not reducible to the Moyal $*$-commutator by a similarity transformation.
Received: 20.04.2001
Citation:
I. V. Tyutin, “General Form of the $*$-Commutator on the Grassmann Algebra”, TMF, 128:3 (2001), 515–539; Theoret. and Math. Phys., 128:3 (2001), 1271–1292
Linking options:
https://www.mathnet.ru/eng/tmf512https://doi.org/10.4213/tmf512 https://www.mathnet.ru/eng/tmf/v128/i3/p515
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Abstract page: | 418 | Full-text PDF : | 216 | References: | 51 | First page: | 3 |
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