# Root systems and their applications in representation theory

**Project level:** Honours

Root systems are one of the most remarkable structures elucidated in 20th century mathematics. They have a simple definition in terms of linear algebra and combinatorics, but have very far reaching applications in many areas of mathematics. The aim of this project is to study the classification of root system and their applications in representation theory of Lie groups and algebras.

## Project members

### Dr Masoud Kamgarpour

Senior Lecturer

Mathematics