Resources | Representations of Lie Groups | Mathematics

Course Info

Instructor

Prof. Pavel Etingof

Departments

Mathematics

As Taught In

Fall 2023

Level

Graduate

Topics

Mathematics
- Algebra and Number Theory

Learning Resource Types

Lecture Notes

Open Textbooks

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Lecture Notes

pdf

460 kB

18.757 F23 Lecture 01: Continuous Representations of Topological Groups

pdf

352 kB

18.757 F23 Lecture 02: K-finite Vectors and Matrix Coefficients

pdf

422 kB

18.757 F23 Lecture 03: Algebras of Measures on Locally Compact Groups

pdf

384 kB

18.757 F23 Lecture 04: Plancherel Formulas, Dirac Sequences, Smooth Vectors

pdf

381 kB

18.757 F23 Lecture 05: Admissible Representations and (g, K)-Modules

pdf

354 kB

18.757 F23 Lecture 06: Weakly Analytic Vectors

pdf

405 kB

18.757 F23 Lecture 07: Infinitesimal Equivalence and Globalization

pdf

388 kB

18.757 F23 Lecture 08: Highest Weight Modules and Verma Modules

pdf

425 kB

18.757 F23 Lecture 09: Representations of SL2(R)

pdf

359 kB

18.757 F23 Lecture 10: Chevalley Restriction Theorem and Chevalley-Shephard-Todd Theorem

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Open Textbooks

pdf

1 MB

18.757 F23 Full Lecture Notes: Representations Of Lie Groups

Course Info

Instructor

Prof. Pavel Etingof

Departments

Mathematics

As Taught In

Fall 2023

Level

Graduate

Topics

Mathematics
- Algebra and Number Theory

Learning Resource Types

Lecture Notes

Open Textbooks

Problem Sets

Download Course

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Representations of Lie Groups

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Lecture Notes

Open Textbooks

Course Info

Instructor

Departments

As Taught In

Level

Topics

Learning Resource Types