Extended calculus on ${\cal O}({\mathbb C}_{h}^{1\vert1})$

Authors: SALİH ÇELİK

Abstract: We give an extended calculus over the function algebra on $h$-deformed superplane. For this, we extend the $(h_1,h_2)$-deformed differential calculus on the $h$-deformed superplane by adding inner derivations. We reformulate the results with an $R$-matrix and present the tensor product realization of the wedge product. We also discuss Cartan calculus via a contraction.

Keywords: $h$-deformation, quantum superplane, differential calculus, inner derivations, lie derivatives, Cartan calculus, contraction

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