Representations of Cyclotomic Rational Cherednik Algebras with Aspherical Parameters
Abstract
In this article, we describe all two sided ideals of a cyclotomic rational Cherednik algebra Hc and its spherical subalgebra eHc e with a Weil generic aspherical parameter c, and further describe the simple modules in the category Osphc . The main tools we use are categorical Kac-Moody actions on catogories Oc and restriction functors for Harish-Chandra bimodules.
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