ECTS
3 credits
Component
Faculty of Science
Description
This course complements the differential geometry course in M1 Fundamental Mathematics. It applies the concepts of this course to the study of classical Lie groups.
Objectives
Master the basic tools of differential geometry.
Necessary prerequisites
The "Differential Geometry" course in the M1 Fundamental Mathematics program at the University of Montpellier.
Recommended prerequisites: the "Differential Geometry" course in M1 Fundamental Mathematics at 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.
Further information
Hourly volumes :
CM: 12h
TD: 12h
TP: 0
Land: 0