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Turkish Journal of Mathematics

Cartan Calculus on the Quantum Space Rq3

Salih ÇELİK, E. Mehmet ÖZKAN
Ergün YAŞAR
Yıldız Technical University,
Department of Mathematics,
34210 Davutpaşa-Esenler,
İstanbul-TURKEY
e-mail: ergyasmat@gmail.com

Abstract: 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.

Key Words: Quantum space, Hopf algebra, Lie algebra, inner derivation, Lie derivation


Turk. J. Math., 33, (2009), 75-83.
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Other articles published in the same issue: Turk. J. Math.,vol.33,iss.1.