On the Differential Geometry of $G{L}_q(1|1)$

Abstract

The differential calculus on the quantum supergroup GL${}_q(1|1)$ was introduced by Schmidke {\it et al}. (1990 {\it Z. Phys. C} {\bf 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 matrix $\hat{R}$

14 pages

References in corpus (1)

• Hopf algebra structure of Gr${}_q(1|1)$ related to GL${}_q(1|1)$

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