Уваров Ф.В. - Группы и Алгебры Ли - representations and integration on compact Lie groups

00:00:15 Plan of the lecture 00:01:08 Definition 1: A unitary representation of a Lie group 00:03:03 Proposition 1: a connection between unitary representation and reducibility 00:03:40 Proof of the proposition 1 00:07:50 Theorem 1: Any complex representation of a compact Lie group is unitary 00:08:53 Proof of the theorem 1 00:46:56 Corollary 1: any finite-dim representation of sl(2) is reducible 00:47:48 Proof of the corollary 1 00:54:30 Define an inner product on C-infinity 00:57:20 Theorem 2: about orthonormal basis of representations 01:02:30 Proof of the theorem 2 Ссылка на плейлист: #мгу #мехмат #уваров #группыли #алгебрыли