18.745 Lie Groups and Lie Algebras I


Class Info

Covers fundamentals of the theory of Lie algebras and related groups. Topics may include theorems of Engel and Lie; enveloping algebra, Poincare-Birkhoff-Witt theorem; classification and construction of semisimple Lie algebras; the center of their enveloping algebras; elements of representation theory; compact Lie groups and/or finite Chevalley groups.

This class has 18.701, 18.703, 18.100A, 18.100B, 18.100P, and 18.100Q as prerequisites.

18.745 will be offered this semester (Fall 2019). It is instructed by G. Lusztig.

Lecture occurs 1:00 PM to 2:30 PM on Tuesdays and Thursdays in 2-135.

This class counts for a total of 12 credits.

You can find more information at the Course Website site.

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