The Course

References

• Lie algebras of finite and affine type, by R. Carter
• Introduction to Lie algebras by K. Erdmann and M. Wildon (Free online through SpringerLink)

Grades

(Very) Tentative Schedule

Week 1 (August 23 - August 27). Introduction and Basic definitions

Week 2 (August 30 - September 3). Examples and representations

Week 3 (September 6 - September 10). Cartan subalgebras

Week 4 (September 13 - September 17). Cartan decomposition

Week 5 (September 20 - September 24). Root systems and Weyl groups

Week 6 (September 27 - October 1). Cartan Matrix and Midterm 1

Week 7 (October 4 - October 8). Classification

Week 8 (October 11 - October 15). Examples revisited

Week 9 (October 18 - October 22). Universal enveloping algebras

Week 10 (October 25 - October 29). Start Topics

Week 11 (November 1 - November 5).

Week 12 (November 8 - November 12).

Week -- (November 15 - November 19).

Week 13 (November 22 - November 26).

Week 14 (November 29 - December 3).

Week 15 (December 6 - December 10).

Finals Week (December 11 - December 16).