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Course Info

Instructor:
  • Prof. Pavel Etingof
Course Number:
  • 18.735
Departments:
  • Mathematics
As Taught In: Fall 2009
Level: Graduate

Topics

  • Mathematics
    Algebra and Number Theory
    Linear Algebra
    Topology and Geometry

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Course Info
Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical Physics
  • Syllabus

  • Readings

  • Lecture Notes

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Lecture Notes

1. Introduction

10. Quantization of Claogero-Moser spaces

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

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Course Info

Instructor:
  • Prof. Pavel Etingof
Course Number:
  • 18.735
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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