Departement de Mathematiques et Informatique, Faculte des Sciences, Universited Antananarivo, Antananarivo 101, Madagascar
Biography
I studied derivations of Lie algebra of vector fields relative to generalized foliation, of compact vector fileds, of commuting vector fields and polynomial vector fields. Now, I am interesting in general notion of derivation of these Lie algebras: the m geq 2-derivations. Simultaneously, my goal is to characterize connection in a smooth manifold with the property of m -derivations of some Lie algebras defined by the connection. I am also working on non-associative algebras in genetics and Lie algebras relative to Jacobian Conjecture.