ICFP Master, École Normale Supérieure, 1st year, 2020/2021

Faculty: Frédéric Chevy

Tutor: Manuel Gessner

The goals of the course are twofold: to introduce mathematical tools relevant in many fields of physics such as quantum mechanics, solid state physics or particle physics, as well as to familiarize the student with basic mathematical terminology and concepts (groups, group action, topology, Lie groups and Lie algebras).

1) Abstract algebra and group theory 

2) Linear representation of finite groups

3) General topology and topological groups

4) Lie groups

5) SU(2) and SO(3)

Exercise sheets

TD1  -  TD1 Solution

TD2  -  TD2 Solution 

TD3  -  TD3 Solution

TD4  -  TD4 Solution

TD5  -  TD5 Solution

TD6  -  TD6 Solution

TD7  -  TD7 Solution

TD8  -  TD8 Solution