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Searched for: "18.755" Subjects offered any term 1 subject found.
18.755 Introduction to Lie Groups
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Prereq: (18.700 or 18.701) and (18.100A, 18.100B, 18.100P, or 18.100Q)
Units: 3-0-9
Lecture: TR9.30-11 (2-147)
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.
P. Etingof
Textbooks (Fall 2018)
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