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Searched for: "18.745" Subjects offered any term 1 subject found.
18.745 Introduction to Lie Algebras
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Prereq: 18.701 or 18.703
Units: 3-0-9
Lecture: TR2.30-4 (2-143)
Topics may include structure of finite-dimensional Lie algebras; theorems of Engel and Lie; Cartan subalgebras and regular elements; trace form and Cartan's criterion; Chevalley's conjugacy theorem; classification and construction of semisimple Lie algebras; Weyl group; universal enveloping algebra and the Casimir operator; Weyl's complete reducibility theorem, Levi and Maltsev theorems; Verma modules; classification of irreducible finite-dimensional representations of semisimple Lie algebras; Weyl's character and dimension formulas.
V. Kac
No required or recommended textbooks
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