Representations of Lie Groups
18.757 · Mathematics · Graduate · Fall 2023
Prof. Pavel Etingof
The goal of this course is to give an introduction to the representation theory of compact and non-compact Lie groups. It will rely on some material from <em>18.745 Lie Groups and Lie Algebras I</em> and <em>18.755 Lie Groups and Lie Algebras II</em>, but full familiarity with this material is not required. Topics include continuous representations; algebras of measures on a Lie group; K-finite, smooth, and analytic vectors; admissible representations; unitary representations; the Harish-Chandr…
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Prof. Pavel Etingof. 18.757 Representations of Lie Groups. Fall 2023. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: CC BY-NC-SA 4.0.
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