Lie groups and Lie algebras

This course complements the differential geometry course in the M1 Fundamental Mathematics program. It applies the concepts covered in that course to the study of classical Lie groups.

Master basic differential geometry tools.

The "Differential Geometry" course in the M1 Fundamental Mathematics program at the University of Montpellier.

Recommended prerequisites: the "Differential Geometry" course from the M1 Fundamental Mathematics program at the University of Montpellier.

1. The concept of a Lie group. Standard examples: closed subgroups of_GLn.
2. Concept of Lie algebra. Invariant vector fields. Standard examples: Lie subalgebras of_gln.
3. The exponential application.

Hourly volumes:

            CM: 12 p.m.

            TD: 12 p.m.

            TP: 0

            Land: 0