The general form of the *-commutator on the Grassman algebra
High Energy Physics - Theory
2007-05-23 v1
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.
Cite
@article{arxiv.hep-th/0101068,
title = {The general form of the *-commutator on the Grassman algebra},
author = {I. V. Tyutin},
journal= {arXiv preprint arXiv:hep-th/0101068},
year = {2007}
}
Comments
23 pages, LATEX