The mark for this course is 0.4*Midterm+0.6*Final.

Video recordings: Link (Updated 15.10)

The midterm will take place on October 30 , 11:30. Results

The final exam will take place on December 18 , 10:30-12:50, room 208. 

Demo version of final exam is here.

Seminars:

1. Seminar 1. (Solved 1,2)

2. Seminar 2. Weyl group computations materials.

3. Seminar 3. Center of U(gl_n(C)).

4. Seminar 4. Center of U(so_n(C)) and U(sp_2n(C)).

5. Seminar 5. Finite-dimensional algebras and its representations.

6. Seminar 6. Characters of irreducible representations of classical groups.

7. Seminar 7. Algebraic representations of GL_n(C).

8. Seminar 8. Schur-Weyl duality.

9. Seminar 9. RSK-correspondence, algebraic and holomorphic complex representations of GL_n(C).

10. Seminar 10. Complete reducibility of representations of GL_n(C).

11. Seminar 11. Branching rule and dimensions of representations of GL_n(C). 

12. Seminar 12. Representations of S_n.