Title of article
Z3-GRADED DIFFERENTIAL CALCULUS ON THE QUANTUM SPACE R 3 q
Author/Authors
Yasar, Ergun Yildiz Technical University - Department of Mathematics, Turkey , Bakkaloglu, Ahmet Mimar Sinan University - Department of Mathematics, Turkey
From page
101
To page
114
Abstract
In this work, the Z3-graded differential calculus of the extended quantum 3d space is constructed. By using this differential calculus, we obtain the algebra of Cartan-Maurer forms and the corresponding quantum Lie algebra. To give a Z3-graded Cartan calculus on the extended quantum 3d space, the noncommutative di erential calculus on this space is extended by introducing inner derivations and Lie derivatives.
Keywords
Z3 , graded quantum 3d space , Lie algebra , inner derivation , Lie derivation
Journal title
Hacettepe Journal Of Mathematics and Statistics
Journal title
Hacettepe Journal Of Mathematics and Statistics
Record number
2650535
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