Уваров Ф.В. - Представления алгебр Ли. Лекции - 10. Dynkin diagrams

00:00:19 The plan of the lecture 00:00:42 Definition of Dynkin diagrams 00:08:52 Association of Dynkin diagrams with simple roots 00:17:18 Definition of the reducible root system 00:20:12 Proposition: the connection of abstract root system with connected graphs 00:29:50 Theorem: the connection of abstract root system with connected graphs t 00:51:07 Proposition about triangular root decomposition 01:19:45 Serre relations 01:35:28 Definition of Chevalley generators 01:37:30 Serre’s theorem 01:48:30 Corollary: A semisimple Lie algebra g is isomorphic to g(R) 01:53:10 Some information for the next lecture Курс: Представления конечномерных и бесконечномерных алгебр Ли Ссылка на плейлист: