General Form of the *-Product on the Grassmann Algebra
Abstract
We study the general form of the noncommutative associative product (the *-product) on the Grassmann algebra; the *-product is treated as a deformation of the usual "pointwise" product. We show that up to a similarity transformation, there exists only one such product. We discuss the relation of the algebra
- Publication:
-
Theoretical and Mathematical Physics
- Pub Date:
- May 2001
- DOI:
- 10.1023/A:1010445502845
- arXiv:
- arXiv:hep-th/0101046
- Bibcode:
- 2001TMP...127..619T
- Keywords:
-
- Similarity Transformation;
- Clifford Algebra;
- Associative Product;
- Grassmann Algebra;
- High Energy Physics - Theory
- E-Print:
- 13 pages, LATEX