18.745 Introduction to Lie Algebras


Class Info

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.

This class has 18.701, and 18.703 as prerequisites.

18.745 will be offered this semester (Fall 2018). It is instructed by V. G. Kac.

Lecture occurs 2:30 PM to 4:00 PM on Tuesdays and Thursdays in 2-143.

This class counts for a total of 12 credits.

You can find more information at the MIT + 18.745 - Google Search site or on the 18.745 Stellar site.

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