Geodesic
General Form of the $*$-Product on the Grassmann Algebra
Teoretičeskaâ i matematičeskaâ fizika, Tome 127 (2001) no. 2, pp. 253-267

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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 $\mathcal F$ (the algebra of the elements of the Grassmann algebra with the $*$-product as a product) to the Clifford algebra. 
@article{TMF_2001_127_2_a1,
     author = {I. V. Tyutin},
     title = {General {Form} of the $*${-Product} on the {Grassmann} {Algebra}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {253--267},
     publisher = {mathdoc},
     volume = {127},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_127_2_a1/}
}
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I. V. Tyutin. General Form of the $*$-Product on the Grassmann Algebra. Teoretičeskaâ i matematičeskaâ fizika, Tome 127 (2001) no. 2, pp. 253-267. http://geodesic.mathdoc.fr/item/TMF_2001_127_2_a1/