MA 720

Lie Algebras

North Carolina State University · UGRD · Fall 2026

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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.

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Class #north_carolina_state-3893Fall 2026UGRD
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