Lie groups and Lie algebras

4 Abril 2017, 17:00 Susana Duarte Santos

The complexification of a real Lie algebra.

Tangent bundle of a manifold M, rough and smooth vector fields on M, derivations on C(M): examples. Lie brackets of smooth vector fields. Results and properties. Related smooth vector fields: results, properties and examples. The pushforward of a smooth vector field by a diffeomorphism.