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

I. V. Tyutin

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arXiv · hep-th/0101046

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

I. V. Tyutin

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Abstract

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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I. V. Tyutin. 2001-01-30. The general form of the star-product on the Grassman algebra. https://arxiv.org/abs/hep-th/0101046

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