- Enseignant-e: Mohamad Alameddine
The main objective of this course is to provide an introduction to Lie algebras, their representation theory, and their root space decomposition. This will lead to an overview of the classification theory of irreducible root systems. If time permits, we will also discuss several related topics and generalizations, including connections with Lie groups, affine Lie algebras, integrable systems, and isomonodromy theory.
The course is divided into chapters, beginning with an introduction and classical examples and leading up to the classification of irreducible root systems. Exercise sheets will be uploaded regularly. Written solutions will be made available a few weeks later, following a discussion of the exercises during the TD sessions.
Additional material, including references, written notes, and supplementary topics, will also be uploaded to this page.
This page is dedicated to announcements, course notes, and other material related to the course.