The Hopf algebra structure of the h-deformed Z₃-graded quantum supergroup GLh,j(1|1)

Abstract

In this work, we define a new proper singular [Formula: see text] matrix to construct a Z3-graded calculus on the [Formula: see text]-deformed quantum superplane. Using the obtained calculus, we construct a new [Formula: see text]-deformed Z3-graded quantum supergroup and give some features of it. Finally, we build up the Hopf algebra structure of this supergroup.