Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 2
Z3-Graded Differential Calculus on the Quantum Space R3q
- Sayfa
- 101–114
- DOI
- —
Özet
-
Abstract
In this work, the Z-graded differential calculus of the extended quantum 3d space is constructed. By using this differential calculus, weobtain the algebra of Cartan-Maurer forms and the corresponding quantum Lie algebra. To give a Z-graded Cartan calculus on the extendedquantum 3d space, the noncommutative differential calculus on thisspace is extended by introducing inner derivations and Lie derivatives.