Уваров Ф.В. - Представления алгебр Ли. Лекции - 16. Affine Lie algebras

00:00:19 Today in the lecture 00:00:53 Definition of the 2-cocycle on J 00:03:30 Definition of the central extension on J 00:06:12 Definition of the adjoining derivation 00:09:43 Example of the adjoining derivation 00:12:15 Definition of the loop algebra 00:14:05 Definition of the residue function 00:16:16 Lemma: the connection a residue function with a 2-cocycle 00:17:55 Definition of the Affine Lie algebra 00:23:27 Theorem: Kac-Moody Lie Algebra with certain Cartan matrix 01:21:20 A few comments on what we have learned and what we will learn 01:23:11 Imaginary and real roots Курс: Представления конечномерных и бесконечномерных алгебр Ли Ссылка на плейлист: