Left covariant differential calculi on ${\widetilde{\mathrm{GL}}}_q(2)$

Abstract

In this work, we introduce the ${\mathbb{Z}}_3$-graded differential algebra, denoted by $\Omega ({\widetilde{\mathrm{GL}}}_q(2))$, treated as the ${\mathbb{Z}}_3$-graded quantum de Rham complex of ${\mathbb{Z}}_3$-graded quantum group ${\widetilde{\mathrm{GL}}}_q(2)$. In this sense, we construct left-covariant differential calculi on the ${\mathbb{Z}}_3$-graded quantum group ${\widetilde{\mathrm{GL}}}_q(2)$.

26 pages

Cited by in corpus (1)

• Right-covariant differential calculus on $\mathcal{F}({\mathbb{C}}_q^{2|1})$