Left-covariant differential calculi on (GL)over-tildeq (2)

In this work, we introduce the Z(3)-graded differential algebra, denoted by Omega((GL) over tilde (q)(2)), treated as the Z(3)-graded quantum de Rham complex of Z(3)-graded quantum group (GL) over tilde (q)(2). In this sense, we construct left-covariant differential calculi on the Z(3)-graded quantum group (GL) over tilde (q)(2). Published under an exclusive license by AIP Publishing.