After successful completion of the course, students are able to zu completely classify all root systems. They can formulate and prove the conjugation theorem for Cartan subalgebras and they can define the universal enveloping algebra and apply it in the proof of the Theorem of Serre.
Classification of root systems, isomorphism and conjugacy theorems, universal enveloping algebras, Serre's Theorem and the classification of complex simple Lie algebras
The course will be held ONLINE under the GoToMeeting Link
https://global.gotomeeting.com/join/873369773
at the following dates - each of which will be about 90 min on a Monday 9:00 a.m.:
19. October (Chapter 4)
9. November (Chapter 4)
23. November (Chapter 5)
14. December (Chapter 5)
11. January (Chapter 6)
18. January (Chapter 6)