Z3-Graded Differential Calculus on the Quantum Space R3q

Authors : Ergün YASAR, Ahmet BAKKALOGLU

Pages : 101-114

View : 25 | Download : 12

Publication Date : 2013-02-01

Article Type : Other Papers

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.
Keywords : Z graded quantum 3d space, Lie algebra, inner derivation, Lie derivation