Transitive Lie algebroids. Categorical point of view (Q1708286)

The authors prove the functorial property of the inverse image for transitive Lie algebroids. First, the relevant notions are recalled. Then the authors propose to construct all necessary objects in a functorial manner. More precisely, bundles of finite-dimensional Lie algebras, covariant connections of derivations, coupling and Mackenzie obstructions are obtained. The Mackenzie obstruction will be computed in terms of the cohomologies of the classifying space in an other work.