Two-parametric extension of h-deformation of Gr(1|1)

Abstract

The two-parametric quantum deformation of the algebra of coordinate functions on the (dual) supergroup Gr(1|1) via a contraction of Grp,q(1|1) is presented. Although the quantum superdeterminant of any element of Grp,q(1|1) is not central, in the two parametric Jordanian deformation of Gr(1|1) the quantum superdeterminant belongs to the center. The Hopf algebra structure of Grh1,h2(1|1) is discussed.