Current results: Link 

Midterm 26.03 16:20-18:20.

Problems for preparation.

Exercise sheets:

1. Sheet 1.

2. Sheet 2.

Листки можно сдавать:

А. Ильин aiilin@hse.ru

С. Давыдов sndavydov_1@edu.hse.ru

М. Градов mogradov@edu.hse.ru

Seminars:

1. Seminar 1. Solvable and nilpotent Lie algebras.

2. Seminars 2,3. Invariant bilinear forms. 

3. Seminar 4. Semisimple and simple Lie algebras.

4. Seminar 5. HW -- 2в + picture for B_2, 5

5. Seminar 6. 2б+4 for type C_n

6. Seminar 7. Root systems.

7. Seminar 8. Simple roots

8. Seminar 9. Cartan matrix, Dynkin scheme.

9. Seminar 10.  Explicit realization of simple Lie algebras.

Lecture notes (in Russian):

1. Lectures 1,2.

2. Lectures 2,3.

3. Lecture 4.

4.  Lecture 5.

5. Lecture 6.

6. Lecture 7 - Kac, Lectures 7,8,9.

7. Lecture 8 - Kac, Lectures 7,8,9.

8. Lecture 9.

9.  Lecture 10. Хамфрис, п. 14.

10.  Lecture 11. Каc, Lecture 20, pp. 1-2 + Construction of E_6, E_7, E_8 root systems. 

11. Lecture 12. Kac, Lectures 19-20. Existence of G_2/F_4 simple Lie algebras.

Materials:

Terrence Tao Ado Theorem

V. Kac notes from MIT course Introduction to Lie algebras

Дж. Хамфрис Введение в теорию алгебр Ли и их представлений