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Instructor
  • Prof. Pavel Etingof
Departments
  • Mathematics
As Taught In
Fall 2009
Level
Graduate
Topics
  • Mathematics
    Algebra and Number Theory
    Linear Algebra
    Topology and Geometry
Learning Resource Types
notes Lecture Notes

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18.735 | Fall 2009 | Graduate

Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical Physics

  • Syllabus

  • Readings

  • Lecture Notes

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
    Algebra and Number Theory
    Linear Algebra
    Topology and Geometry
Learning Resource Types
notes Lecture Notes

Download Course
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