Turkish Journal of Mathematics
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.
DOI
10.55730/1300-0098.3456
Keywords
$h$-deformation, quantum superplane, differential calculus, inner derivations, lie derivatives, Cartan calculus, contraction
First Page
1674
Last Page
1693
Recommended Citation
ÇELİK, S (2023). Extended calculus on ${\cal O}({\mathbb C}_{h}^{1\vert1})$. Turkish Journal of Mathematics 47 (6): 1674-1693. https://doi.org/10.55730/1300-0098.3456
