Paragrassmann Analysis and Quantum Groups
High Energy Physics - Theory
2008-11-26 v1
Abstract
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.
Cite
@article{arxiv.hep-th/9204089,
title = {Paragrassmann Analysis and Quantum Groups},
author = {A. T. Filippov and A. P. Isaev and A. B. Kurdikov},
journal= {arXiv preprint arXiv:hep-th/9204089},
year = {2008}
}
Comments
14 pages