Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical Physics | Mathematics | MIT OpenCourseWare

Course Info

Instructor

Prof. Pavel Etingof

Departments

Mathematics

As Taught In

Fall 2009

Level

Graduate

Topics

Mathematics

Learning Resource Types

Lecture Notes

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Lecture Notes

Lecture notes on Cherednik Algebras

1. Introduction

2. Classical and quantum Olshanetsky-Perelomov systems for ﬁnite Coxeter groups

3. The rational Cherednik algebra

4. The Macdonald-Mehta integral

5. Parabolic induction and restriction functors for rational Cherednik algebras

6. The Knizhnik-Zamolodchikov functor

7. Rational Cherednik algebras and Hecke algebras for varieties with group actions

8. Symplectic reﬂection algebras

9. Calogero-Moser Spaces

10. Quantization of Claogero-Moser spaces

Course Info

Instructor

Prof. Pavel Etingof

Departments

Mathematics

As Taught In

Fall 2009

Level

Graduate

Topics

Mathematics

Learning Resource Types

Lecture Notes

Download Course

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