Some topics on the $Z_3$-graded exterior algebras
Quantum Algebra
2016-06-28 v1
Abstract
A -graded Hopf algebra structure of exterior algebra with two generators is introduced. Two covariant differential calculus on the -graded exterior algebra are presented. Using the generators and their partial derivatives a Grassmann-Heisenberg algebra is constructed. An R-matrix which satisfies graded Yang-Baxter equations is obtained. A -graded universal enveloping algebra is constructed with the quadratic elements of the Grassmann-Weyl algebra.
Keywords
Cite
@article{arxiv.1606.08139,
title = {Some topics on the $Z_3$-graded exterior algebras},
author = {Salih Celik and Sultan A. Celik},
journal= {arXiv preprint arXiv:1606.08139},
year = {2016}
}
Comments
18 pages