18.755 Introduction to Lie Groups

Class Info

A general introduction to manifolds and Lie groups. The role of Lie groups in mathematics and physics. Exponential mapping. Correspondence with Lie algebras. Homogeneous spaces and transformation groups. Adjoint representation. Covering groups. Automorphism groups. Invariant differential forms and cohomology of Lie groups and homogeneous spaces. 18.101 recommended but not required.

This class has 18.700, 18.701, 18.100A, 18.100B, 18.100P, and 18.100Q as prerequisites.

18.755 will not be offered this semester. It will be available in the Fall semester, and will be instructed by P. I. Etingof.

Lecture occurs 3:00 PM to 4:30 PM on Mondays and Wednesdays in 2-143.

This class counts for a total of 12 credits.

You can find more information at the MIT + 18.755 - Google Search site or on the 18.755 Stellar site.

Recommended Textbooks
Save up to a ton by purchasing through MIT Textbooks!
MIT 18.755 Introduction to Lie Groups Related Textbooks
MIT 18.755 Introduction to Lie Groups On The Web

© Copyright 2015