Izvorni znanstveni članak
Cartan calculus on the superalgebra ${\cal O}({\mathbb C}_q^{2\vert1})$
Salih Çelik
orcid.org/0000-0002-6590-1032
; Department of Mathematics, Yildiz Technical University, Istanbul, Turkey
Sažetak
In analogy with the classical case, the noncommutative differential calculus on a quantum superspace can be extended to the Cartan calculus by introducing inner derivations and Lie derivatives. So, to give a Cartan calculus on the algebra of functions on quantum (2+1)-superspace ${\mathbb C}_q^{2\vert1}$, we first introduce two left-covariant differential calculi over ${\cal O}({\mathbb C}_q^{2\vert1})$ 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.
Ključne riječi
Hrčak ID:
308962
URI
Datum izdavanja:
22.10.2023.
Posjeta: 211 *