MATH-429 / 5 credits

Teacher:

Language: English

Remark: pas donné en 2021-22


Summary

Lie groups are manifolds with a group structure. The interaction between the geometric and the algebraic structure of these objects gives rise to a rich and beautiful subject with various applications in physics and other branches of mathematics.

Content

Keywords

Lie groups, Lie algebras, Classical groups

Learning Prerequisites

Required courses

Group Theory

Recommended courses

Introduction to differentiable manifolds

 

Lie algebras

Learning Outcomes

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

  • Define the main concepts introduced in the course
  • state the theorems covered in the course and give the main ideas of their proofs
  • apply the results covered in the course to examples
  • deduce properties of a Lie group from the structure of its Lie algebra

Teaching methods

ex-cathedra teaching, exercise classes

Expected student activities

Attending the course, solving the weekly assignments, participating actively in the exercise classes

Assessment methods

Assignments, oral exam

Dans le cas de l’art. 3 al. 5 du Règlement de section, l’enseignant décide de la forme de l’examen qu’il communique aux étudiants concernés.

In the programs

  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Lie groups
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Lie groups
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Lie groups
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks

Reference week

 MoTuWeThFr
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