Lie Groups and Lie Algebras II
18.755 · Mathematics · Graduate · Spring 2024
Prof. Pavel Etingof
This course is the second half of the year-long introductory graduate sequence <em>Lie Groups and Lie Algebras I</em> <em>& Lie Groups and Lie Algebras II</em>. Topics include classical groups, Haar measure on locally compact groups, the representation-theoretic understanding of the hydrogen atom, representations of compact (in particular, finite) groups, the Peter-Weyl theorem with proof, maximal tori, Cartan and Iwasawa decompositions, classification of real reductive Lie groups, topology…
The syllabus, on MIT OpenCourseWare
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Attribution
Prof. Pavel Etingof. 18.755 Lie Groups and Lie Algebras II. Spring 2024. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: CC BY-NC-SA 4.0.
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