Ergün YASAR, Ahmet BAKKALOGLU

Z3-Graded Differential Calculus on the Quantum Space R3q

Anahtar Kelimeler:

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Z3-Graded Differential Calculus on the Quantum Space R3q

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,

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