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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
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18.735 | Fall 2009 | Graduate
Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical Physics
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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