Список всех тем лекций

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).