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Representations of Lie Groups

Massachusetts Institute of TechnologyUnited States18.757
Free, no sign-up neededFall 2023English
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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 18.745 Lie Groups and Lie Algebras I and 18.755 Lie Groups and Lie Algebras II, 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-Chandra admissibility…

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