Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

Princy Randriambololondrantomalala

Departement de Mathematiques et Informatique, Faculte des Sciences, Universited Antananarivo, Antananarivo 101, Madagascar

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. 

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