A Differential Calculus on the $(h,j)$-Deformed Z${}_3$-Graded Superplane

Abstract

In this work, Z${}_3$-graded quantum $(h,j)$-superplane is introduced with a help of proper singular $g$ matrix and a Z${}_3$-graded calculus is constructed over this new $h$-superplane. A new Z${}_3$-graded $(h,j)$-deformed quantum (super)group is constructed via the obtained calculus.

To appear in Adv. App. Clifford Algebras

References in corpus (1)

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