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- Title
Cartan calculus on the superalgebra O(C<sub>q</sub><sup>2|1</sup>).
- Authors
CELIK, SALIH
- Abstract
By analogy with the classical case, noncommutative differential calculus on a quantum superspace can be extended to the Cartan calculus by introducing inner derivations and Lie derivatives. So, to give the Cartan calculus on the algebra of functions on quantum (2+1)-superspace Cq2|1, we first introduce two left-covariant differential calculi over O(Cq2|1) and extend one of these calculi by adding inner derivations and Lie derivatives to the calculus. We also introduce tensor product realization of the wedge product of forms.
- Subjects
DIFFERENTIAL calculus; CALCULUS; LIE algebras; CALCULI
- Publication
Mathematical Communications, 2023, Vol 28, Issue 2, p213
- ISSN
1331-0623
- Publication type
Article