Уваров Ф.В. - Группы и Алгебры Ли - 7. Connected Lie groups

00:00:14 Today’s plan 00:00:41 Proposition 1 of a normal group 00:01:44 Proof of the proposition 1 00:04:12 Proposition 2 of a connected Lie group 00:05:08 Proof of the proposition 2 00:09:02 Corollary is the following from the proposition 2 00:10:20 Proof of the corollary 00:11:21 Definition of a discrete group 00:14:23 Proposition 3 of a connected Lie group 00:16:14 Proof of the proposition 3 00:27:23 Proposition 4 00:28:44 Proof of the proposition 4 00:32:18 Reminder about covers 00:39:03 Reminder about universal cover 00:42:51 Theorem 1 about connected Lie groups and its universal cover 00:44:45 Proof of the theorem 01:11:42 1st Fundamental theorem about Lie theory 01:15:45 2nd Fundamental theorem about Lie theory 01:20:20 3rd Fundamental theorem about Lie theory Ссылка на плейлист: #мгу #мехмат #уваров #группыли #алгебрыли