Lecture Notes

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


Lecture notes on rational Cherednik algebras, Hecke algebras for varieties with group actions, twisted differential operators, some algebraic geometry preliminaries, the Cherednik algebra of a variety with a finite group action, globalization, modified Cherednik algebra, orbifold Hecke algebras, Hecke algebras attached to Fuchsian groups, Hecke algebras of wallpaper groups and del Pezzo surfaces, the Knizhnik-Zamolodchikov functor, the simplest case of double affine Hecke algebras, affine and extended affine Weyl groups, Cherednik’s double affine Hecke algebra of a root system, and algebraic flatness of Hecke algebras of polygonal Fuchsian groups.

Resource Type:
Lecture Notes

Course Info

As Taught In
Fall 2009