Fiches de cours 2017-2018

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Lie groups

MATH-477

Enseignant(s) :

Raum Sven

Langue:

English

Summary

This course introduces to Lie groups and their correspondence with Lie algebras. Classical groups and compact groups are treated as important classes of examples. The notions of homogeneous spaces and lattices are introduced.

Content

  1. Lie groups and their Lie algebras
  2. Classical groups
  3. Compact (Lie) groups
  4. Homogeneous spaces and lattices in Lie groups

Keywords

Lie groups, Lie group-Lie algebra correspondence, homogeneous spaces

Learning Prerequisites

Required courses

Learning Outcomes

By the end of the course, the student must be able to:

Transversal skills

Teaching methods

Ex-cathedra course with exercises

Expected student activities

Assessment methods

Oral exam and presentation in the classroom. In case Art. 3 al. 5 of the regulations of the section apply to some student, the exam form will be decided by the teacher and communicated to the student.

Supervision

Office hours Yes
Assistants Yes
Forum No

Resources

Bibliography

Dans les plans d'études

Semaine de référence

 LuMaMeJeVe
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
En construction
 
      Cours
      Exercice, TP
      Projet, autre

légende

  • Semestre d'automne
  • Session d'hiver
  • Semestre de printemps
  • Session d'été
  • Cours en français
  • Cours en anglais
  • Cours en allemand