Уваров Ф.В. - Группы и Алгебры Ли - 6. Exponential map

00:00:00 Reminder about one-parametric subgroup 00:07:37 Definition 1: Exponential map 00:10:47 Proposition 1: Properties of the exponential map 00:12:01 Proof of the proposition 1 00:33:39 Proposition 2: Functoriality of exponential map 00:35:22 Proof of the proposition 2 00:43:21 Corollary 1: In matrix Lie groups, exp is the matrix exponent 00:44:31 Proof of the corollary 1 00:48:09 Proposition 3: Weak Campbell–Hausdorff formula 00:49:59 Proof of the proposition 3 01:00:43 Corollary 2: if x and y commute then exp(x,y)=exp(x)exp(y) 01:01:15 Proof of the corollary 2 Ссылка на плейлист: #мгу #мехмат #уваров #группыли #алгебрыли