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00:00:19 Find the commutant [g,g] for g=gl_n 00:10:13 Find the commutant [g,g] for g=b(F), where F is a full flag 00:16:00 b(F) is not nilpotent for a Full flag F and not solvable for a partial flag F 00:36:05 Nilpotent Lie algebra of dim=2 is abelian 00:42:26 Non-abelian Lie algebra has a basis 00:51:02 Non-abelian nilpotent L. algebra of dim=3 is isomorphic to Heisenberg algebra 01:07:57 ad_x is nilpotent for any x from nilpotent subalgebra g of gl(V) Курс: Представления конечномерных и бесконечномерных алгебр Ли Ссылка на плейлист:
