Title of the course: Introduction to Lie groups, Lie algebras and representation theory
Instructor: Dr. Joseph Malkoun
Institution: Notre Dame University-Louaize
Dates: 9-14 September 2019
Prerequisites: Linear Algebra, Algebra, Differentiable Topology (not a must)
Level: Graduate, advanced undergraduate
Abstract: This mini-course is an introduction to Lie groups and Lie algebras. The topics covered include the structure theory and classification of complex semisimple Lie algebras using root systems, some elements of representation theory, with special emphasis on the complex semisimple case, weight theory. Towards the end, a more advanced topic might be discussed, time permitting, such as universal algebras, the Poincare-Birkhoff-Witt theorem, or another topic.
Language: EN