18.755 Introduction to Lie Groups
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.
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.
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