Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3456
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
First Page
1674
Last Page
1693
Recommended Citation
ÇELİK, SALİH
(2023)
"Extended calculus on ${\cal O}({\mathbb C}_{h}^{1\vert1})$,"
Turkish Journal of Mathematics: Vol. 47:
No.
6, Article 6.
https://doi.org/10.55730/1300-0098.3456
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss6/6
