The study of differential operators within the framework of Lie groups offers a profound gateway into understanding symmetry, geometry and representation theory. At its core, this area investigates ...

where and are the components of X and H, respectively. We also assume that the Jacobian matrix exists and is continuous. It should be noted that Equation (2) is the vector version for systems of real ...

We study some properties of first order differential operators from an algebraic viewpoint. We show this last can be decomposed in sum of an element of a module and a derivation. From a geometric ...