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MA 720 Lie Algebras
惭础听720听听Lie Algebras听听(3 credit hours)听听
Definition of Lie algebras and examples. Nilpotent, solvable and semisimple Lie algebras. Engel's theorem, Lie's Theorem, Killing form and Cartan's criterion. Weyl's theorem on complete reducibility. Representations of s1(2,C). Root space decomposition of semisimple Lie algebras. Root system and Weyl group.
Prerequisite: 惭础听520
Typically offered in Spring only