Generalized Einstein gravities and generalized AdS symmetries

We consider the curvatures 2 form asociated with AdSL4 valued one-form gauge connetion, and then we construct a four-dimensional action that generalize Einstein-Hilbert gravity. It is shown Maxwell extension of Einstein gravity can be obtained from AdSL4-gravity making use Inonu-Wigner contraction method. In same way, by gauging AdSL5 spacetime algebra, extended including vector fields kab ha which are associated non-Abelian tensors non Abelian vectors charges in algebra. The B5 using above mentioned procedure. Some aspects based on algebra AdSL6 considered an appendix.