Differential geometry of GLp,q(1|1)

Abstract

The differential calculus on the quantum supergroup GL q (1|1) was introduced by Schmidke et al. (1990 Z. Phys. C 48 249). We construct a differential calculus on the quantum supergroup GL q (1|1) in a different way and we obtain its quantum superalgebra. The main structures are derived without an R-matrix. It is seen that the found results can be written with help of a matrixR