Cartan Calculus on the Quantum Space Rq3

To give a Cartan calculus on the extended quantum 3d space, the noncommutative differential calculus on the extended quantum 3d space is extended by introducing inner derivations and Lie derivatives.

Anahtar Kelimeler:

Quantum space, Hopf algebra, Lie algebra, inner derivation, Lie derivation

Cartan Calculus on the Quantum Space Rq3

To give a Cartan calculus on the extended quantum 3d space, the noncommutative differential calculus on the extended quantum 3d space is extended by introducing inner derivations and Lie derivatives.

Keywords:

Quantum space, Hopf algebra, Lie algebra, inner derivation, Lie derivation,

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Salih ÇELİK, E. Mehmet ÖZKAN Received 13.02.2008 Ergün YAŞAR
Yıldız Technical University, Department of Mathematics, Davutpaşa—Esenler, İstanbul—TURKEY e—mail: ergyasmat©gmaiLcom