A new $Z_3$-graded quantum group

Abstract

We introduce a $Z_3$-graded version of exterior (Grassmann) algebra with two generators and using this object we obtain a new $Z_3$-graded quantum group denoted by $O({\widetilde{GL}}_q(2))$. We also discuss some properties of $O({\widetilde{GL}}_q(2))$.

10 pages, no figures

Cited by in corpus (1)

• Some topics on the $Z_3$-graded exterior algebras