Paragrassmann Analysis and Quantum Groups

Details Paragrassmann Analysis and Quantum Groups Paragrassmann Analysis and Quantum Groups

1992-04-28

arxiv.org/abs/hep-th/9204089v1

Mod.Phys.Lett.A7:2129-2142,1992

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1142/S0217732392001877

Paragrassmann algebras with one and many paragrassmann variables are considered from the algebraic point of view without using the Green ansatz. Operators of differentiation with respect to paragrassmann variables and a covariant para-super-derivative are introduced giving a natural generalization of the Grassmann calculus to a paragrassmann one. Deep relations between paragrassmann algebras and quantum groups with deformation parameters being roots of unity are established.

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