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, 18.100P, 18.100Q, 18.700, and 18.701 as prerequisites.

18.755 will not be offered this semester. It will be available in the Fall semester, and will be instructed by D. Vogan.

This class counts for a total of 12 credits. This is a graduate-level class.

You can find more information at the 18.755 Course Description (Fall 2017) site or on the 18.755 Stellar site.

Required Textbooks
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MIT 18.755 Introduction to Lie Groups Related Textbooks
MIT 18.755 Introduction to Lie Groups On The Web
18.755 Course Description (Fall 2017)

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