Author： Tyutin I.V.
Publisher： Springer Publishing Company
ISSN： 0040-5779
Source： Theoretical and Mathematical Physics, Vol.128, Iss.3, 2001-09, pp. : 1271-1292
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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.
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