Cartan Calculus on the Quantum Space ${\cal R}_q^{3}$
  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. 
Salih \c{C}elik, Erg\"un Ya\c{s}ar and E. Mehmet \"Ozkan