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Differential geometry of GL$_{p,q}(1| 1)$

Salih Celik
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Abstract

We introduce a construction of the differential calculus on the quantum supergroup GL$_{p,q}(1| 1)$. We obtain two differential calculi, respectively, associated with the left and right Cartan-Maurer one-forms. We also obtain the quantum superalgebra of GL$_{p,q}(1| 1)$. Although all of the structures we obtain are derived without an R matrix, they neverthless can be expressed using an R matrix.

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Salih Celik. 2001-12-06. Differential geometry of GL$_{p,q}(1| 1)$. https://doi.org/10.1063/1.1285032

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