Derivations base differential calculi on a class of Lie type non commutative spaces.

In this talk we shall present how the embedding of 3 dimensional Lie algebras g within the 4 dimensional Moyal space allows to define a differential calculus on non commutative spaces deforming the foliation coming from the coadjoint action of g on its dual. This differential calculus has a frame, so the spaces turn to be parallelisable.