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On the Differential Geometry of $GL_q(1| 1)$

Salih Celik
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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 $\hat{R}$

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Salih Celik. 2001-12-12. On the Differential Geometry of $GL_q(1| 1)$. https://doi.org/10.1088/0305-4470%2F31%2F48%2F005

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