Уваров Ф.В. - Группы и Алгебры Ли - 4. Jacobi identity

00:00:14 Reminder about previous lecture 00:01:29 Definition 1: tangent Lie algebra 00:02:29 Definition 2: homomorphism of tangent Lie algebras 00:04:29 Proposition 1: connection between homomorphism of Lie groups and homomorphism of Lie algebras 00:06:11 Proof of the proposition 1 00:26:15 Corollary 1: if G in Gl_n, then J in Jl_n 00:31:47 Proposition 2: Jacobi identity 00:34:34 Definition 3: adjoint representation 00:36:56 Proof of the proposition 2 01:25:12 Definition 4: abstract Lie algebra 01:28:36 Examples of abstract Lie algebra Ссылка на плейлист: #мгу #мехмат #уваров #группыли #алгебрыли