• 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.

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Objectives

Master the basic tools of differential geometry.

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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.

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Syllabus

  1. Notion of Lie group. Standard examples: closed subgroups of GLn.
  2. Notion of Lie algebra. Invariant vector fields. Standard examples: Lie subalgebras of gln.
  3. The exponential application.
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Further information

Hourly volumes :

            CM: 12h

            TD: 12h

            TP: 0

            Land: 0

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