Geodesic
Paragrassmann differential calculus
Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 2, pp. 213-231 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper significantly extends and generalizes the paragrassmann calculus of our previous paper [1]. Here we discuss explicit general constructions for paragrassmann calculus with one and many variables. For one variable, nondegenerate differentiation algebras are identified and shown to be equivalent to the algebra of $(p+1)\times (p+1)$ complex matrices. If $(p+1)$ is a prime integer, the algebra is nondegenerate and so unique. We then give a general construction of many-variable diffeentiation algebras. Some particular examples are related to multi-parametric quantum deformations of the harmonic oscillators. 
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A. T. Filippov; A. P. Isaev; A. B. Kurdikov. Paragrassmann differential calculus. Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 2, pp. 213-231. http://geodesic.mathdoc.fr/item/TMF_1993_94_2_a3/

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