The general form of the star-product on the Grassman algebra

Details The general form of the star-product on the Grassman algebra The general form of the star-product on the Grassman algebra

2001-01-08

arxiv.org/abs/hep-th/0101046v2

Theor.Math.Phys. 127 (2001) 619-631; Teor.Mat.Fiz. 127 (2001) 253-267

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LATEX; misprints and English corrected; two references added

Scientific paper

We study the general form of the noncommutative associative product (the star-product) on the Grassman algebra; the star-product is treated as a deformation of the usual "pointwise" product. We show that up to a similarity transformation, there is only one such product. The relation of the algebra ${\cal F}$, the algebra of elements of the Grassman algebra with the star-product as a product, to the Clifford algebra is discussed.

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