Richard Borcherds: Lie Groups

This is an 11-lecture course, with each lecture being about 30 minutes or so, given online by Richard Borcherds. It gives an introduction to Lie groups.

1. Introduction
2. Lie algebras
3. Lie groups and Lie algebras
4. Exponential map
5. Poincaré-Birkhoff-Witt theorem
6. Baker-Campbell-Hausdorff formula
7. Positive characteristic is weird
8. Bianchi classification
9. Engel’s theorem
10. Lie’s theorem
11. Haar measure