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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 128, Number 3, Pages 515–539
DOI: https://doi.org/10.4213/tmf512 (Mi tmf512) 		 
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
Full-text PDF (310 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf512
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
English version:
Theoretical and Mathematical Physics, 2001, Volume 128, Issue 3, Pages 1271–1292
DOI: https://doi.org/10.1023/A:1012320121612
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 10 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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