Extended calculus on O(Ch1|1)

Abstract

We give an extended calculus over the function algebra on h -deformed superplane. For this, we extend the (h1, h2)-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.