The Hopf algebra structure of the Z$_3$-graded quantum supergroup GL$_{q,j}(1|1)$

TL;DR

This paper explores the algebraic structure of a Z3-graded quantum supergroup, providing insights into its Hopf algebra properties and potential applications in mathematical physics.

Contribution

It introduces the Hopf algebra structure of the Z3-graded quantum supergroup GL_{q,j}(1|1), highlighting novel algebraic features and grading properties.

Findings

Characterization of the Z3-graded quantum supergroup's structure

Identification of Hopf algebra features in the supergroup

Insights into grading and algebraic relations

Abstract

In this work, we give some features of the Z$_3$-graded quantum supergroup.