Уваров Ф.В. - Представления алгебр Ли. Лекции - 11. Representation of Lie algebra

Representation of Lie algebra. Highest weight representation 00:00:19 Short recap of the previous lecture 00:01:50 Definition of representation of Lie algebra 00:03:40 Definition of the weight of representation 00:04:59 Definition of the weight lattice 00:07:36 Proposition: finite-dim representation is a direct sum of its weight subspaces 00:23:12 Proposition: relation between weights of finite-dim representation and Weyl group 00:34:46 Definition of the highest weight representation 00:39:36 Definition of the highest weight vector 00:44:42 Proposition of highest weight vector 01:03:00 Example of highest weight representation: Verma modules 01:28:03 Proposition: the connection of the highest weight representation and the Verma module Курс: Представления конечномерных и бесконечномерных алгебр Ли Ссылка на плейлист: