Лекция 1. Solvable and Nilpotent Lie algebras

Лекция 2. Solvable and Nilpotent Lie algebras. Continuation

Лекция 3. Semisimple Lie algebra

Лекция 4. Invariant bilinear forms

Лекция 5. Semisimple Lie algebras

Лекция 6. Generalization for any semisimple Lie algebra

Лекция 7. Root decomposition. Abstract root system

Лекция 8. Continuation of the previous lecture. Classification of root systems

Лекция 9. Weyl chambers and simple reflections

Лекция 10. Classification of root systems. Serre's relations and Serre's theorem

Лекция 11. Weight subspaces, representations of highest weight, Verma modules

Лекция 12. Classification of finite-dimensional representations of semisimple Lie algebras

Лекция 13. Integrable representations. Characters of representations

Лекция 14. Young tableaux and representations of gl(n)

Лекция 15. Brief introduction to Kac-Moody Lie algebras

Лекция 16. Affine Lie algebras