On Paragrassmann Differential Calculus

TL;DR

This paper develops explicit constructions of paragrassmann calculus with multiple variables, explores its connections to quantum groups, and discusses potential applications in physics, providing new results and extended discussions.

Contribution

It introduces new explicit constructions of paragrassmann calculus and explores its relations to quantum groups, expanding the theoretical framework and potential applications.

Findings

Explicit constructions of paragrassmann calculus for multiple variables

Relations between paragrassmann calculus and quantum groups outlined

Discussion of potential physics applications included

Abstract

Explicit general constructions of paragrassmann calculus with one and many variables are given. Relations of the paragrassmann calculus to quantum groups are outlined and possible physics applications are briefly discussed. This paper is the same as the original 9210075 except added Appendix and minor changes in Acknowledgements and References. IMPORTANT NOTE: This paper bears the same title as the Dubna preprint E5-92-392 but is NOT identical to it, containing new results, extended discussions, and references.