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 18.100A, 18.100B, 18.100C, 18.700, and 18.701 as prerequisites.

18.755 will be offered this semester (Fall 2017). It is instructed by D. A. Vogan.

Lecture occurs 10:00 AM to 11:00 AM on Mondays, Wednesdays and Fridays in 2-135.

This class counts for a total of 12 credits.

In the Fall 2015 Subject Evaluations, 18.755 was rated 5.7 out of 7.0. You can find more information at the 18.755 Course Description (Fall 2015) site or on the 18.755 Stellar site.

MIT 18.755 Introduction to Lie Groups Related Textbooks
MIT 18.755 Introduction to Lie Groups On The Web
18.755 Course Description (Fall 2015)
problem due solutions mark jr. alexander kirillov weyl

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