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arXiv · 1606.08139

Some topics on the $Z_3$-graded exterior algebras

Salih Celik·Sultan A. Celik
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Abstract

A $Z_3$-graded Hopf algebra structure of exterior algebra with two generators is introduced. Two covariant differential calculus on the $Z_3$-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 $Z_3$-graded universal enveloping algebra $U_q(\widetilde{gl}(2))$ is constructed with the quadratic elements of the Grassmann-Weyl algebra.

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Salih Celik, Sultan A. Celik. 2016-06-27. Some topics on the $Z_3$-graded exterior algebras. https://arxiv.org/abs/1606.08139

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