Уваров Ф.В. - Группы и Алгебры Ли - 9. Basics of representation theory

00:00:15 A plan of the lecture 00:00:43 Lemma 00:03:28 Proof of the lemma 00:31:18 Corollary 00:34:02 Theorem 1: Existence of Campbell-Hausdorff theorem 00:38:41 Proof of the theorem 1 00:55:28 General discussion 00:57:45 Definition of a representation theory of a Lie group 01:00:40 Examples of representations of a Lie groups 01:06:47 Sum, tensor product of representations and dual representation 01:13:53 Definition of a homomorphism of a representation 01:16:00 Definition of representations of Lie algebras 01:20:00 Examples of infinite dim representations 01:23:17 Sum, tensor product of representations and dual representation Ссылка на плейлист: #мгу #мехмат #уваров #группыли #алгебрыли