Paragrassmann Analysis and Quantum Groups

  title={Paragrassmann Analysis and Quantum Groups},
  author={Alexander Filippov and Alexey Isaev and A. B. Kurdikov},
Paragrassmann algebras with one and many paragrassmann variables are considered from the algebraic point of view without using the Green ansatz. A differential operator with respect to paragrassmann variable and a covari-ant para-super-derivative are introduced giving a natural generalization of the Grassmann calculus to a paragrassmann one. Deep relations between para-grassmann algebras and quantum groups with deformation parameters being roots of unity are established. 

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