MICROLOCAL KZ-FUNCTORS AND RATIONAL CHEREDNIK ALGEBRAS

摘要

Following the work of Kashiwara and Rouquier and of Gan and Ginzburg, we define a family of exact functors from category (9 for the rational Cherednik algebra in type A to representations of certain colored braid groups and we calculate the dimensions of the representations thus obtained from standard modules. To show that our con-structions make sense in a more general context, we also briefly study the case of the rational Cherednik algebra corresponding to complex reflection group Z/lZ.