Current seminars results: Link 

10 minutes works:

1. 10 minutes work 1.

2. 10 minutes work 2.

3. 10 minutes work 3.

4. 10 minutes work 4.

5. 10 minutes work 5.

6. 10 minutes work 6.

7. 10 minutes work 7.

8. 10 minute work 8.

Seminars:

1. Seminars 1-2. Solvable, nilpotent, semisimple and simple Lie algebras. Levi decomposition.

2. Seminar 3. Invariant bilinear forms.

3. Seminar 4,5. Cartan subalgebras, root decomposition.

4. Seminar 6,7.  Root systems.

5. Seminar 8.  Simple roots, Cartan matrices, Coxeter and Dynkin schemes.

6. Seminar 9. Cartan matricies, fundumental weights.

7. Seminar 10.  Representations of sp_4(C).

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