Семинар 1. The commutator, nilpotency, and solvability

Семинар 2. Nilpotency, simplicity and reductiveness

Семинар 3. Bilinear forms and Killing form

Семинар 4. Semisimple Lie algebras

Семинар 5. Cartan subalgebra and root decomposition

Семинар 6. Cartan subalgebra and abstract root system

Семинар 7. Abstract and Euclidean root systems

Семинар 8. Weyl chambers and simple reflections

Семинар 9. Classification of root systems. Serre's relations and Serre's theorem

Семинар 10. Weight subspaces, representations of highest weight, Verma modules

Семинар 11. Classification of finite-dimensional representations of semisimple Lie algebras

Семинар 12. Young tableaux and representations of gl(n)