18.757 | Fall 2023 | Graduate

Representations of Lie Groups

Representations of Lie Groups

Description:

This textbook develops the representation theory of non-compact semisimple Lie groups, starting from analytic foundations on topological vector spaces. It moves from admissible and Harish-Chandra modules to highest-weight theory, category O, and geometric methods.

 

Key Topics

  • Topological vector spaces
  • Admissible representations
  • Harish-Chandra modules
  • Beilinson-Bernstein localization theorem 
  • D-modules 

Author: Pavel Etingof

Resource Type:
Open Textbooks
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Representations of Lie Groups

Course Info

Fall 2023

Course Info

Fall 2023
Lecture Notes
Open Textbooks
Problem Sets