ECTS
3 credits
Component
Faculty of Science
Description
This course complements the differential geometry course of M1 Fundamental Mathematics. We apply the notions of this course to the study of classical Lie groups.
Objectives
Master the basic tools of differential geometry.
Necessary pre-requisites
The course "Differential Geometry" of the M1 Fundamental Mathematics of the University of Montpellier.
Recommended prerequisite: the course "Differential Geometry" of the M1 Fundamental Mathematics of the University of Montpellier.
Syllabus
- Notion of Lie group. Standard examples: closed subgroups of GLn.
- Notion of Lie algebra. Invariant vector fields. Standard examples: Lie subalgebras of gln.
- The exponential application.
Additional information
Hourly volumes:
CM : 12h
TD : 12h
TP : 0
Land : 0