The general form of the *-commutator on the Grassman algebra

I. V. Tyutin

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arXiv · hep-th/0101068

The general form of the *-commutator on the Grassman algebra

I. V. Tyutin

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Abstract

We study the general form of the *-commutator treated as a deformation of the Poisson bracket on the Grassman algebra. We show that, up to a similarity transformation, there are other deformations of the Poisson bracket in addition to the Moyal commutator (one at even and one at odd n, n is the number of the generators of the Grassman algebra) which are not reduced to the Moyal commutator by a similarity transformation.

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I. V. Tyutin. 2001-01-11. The general form of the *-commutator on the Grassman algebra. https://arxiv.org/abs/hep-th/0101068

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