Лекции
1
Лекция 1. Lie groups and subgroups
01:07:57
2
Лекция 2. Quotients of Lie groups by Lie subgroups
01:30:03
3
Лекция 3. Homomorphism theorem and introduction to Lie algebra
01:24:26
4
Лекция 4. Jacobi identity
01:34:48
5
Лекция 5. Homomorphism of Lie algebra and one-parametric sugroups
01:59:40
6
Лекция 6. Exponential map
01:15:55
7
Лекция 7. Connected Lie groups
01:23:31
8
Лекция 8. Three fundamental theorems of Lie theory
01:27:13
9
Лекция 9. Basics of representation theory
01:27:15
10
Лекция 10. Representation theory of sl(2)
01:31:55
11
Лекция 11. Universal enveloping algebra
01:36:59
12
Лекция 12. Unitary representations and integration on compact Lie groups
01:27:01
13
Лекция 13. Characters and Peter-Weyl theorem
01:38:35
14
Лекция 14. Solvable Lie algebra, Lie theorem
01:12:45
15
Лекция 15. Nilpotent Lie algebras, radical and semisimplicity
01:37:26