Representations of Cyclotomic Rational Cherednik Algebras with Aspherical Parameters

2018/09/16 by Huijun Zhao, Zhao, Huijun
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1809.06724

openalex publication_date 2018/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we describe all two sided ideals of a cyclotomic rational Cherednik algebra H_c and its spherical subalgebra eH_c e with a Weil generic aspherical parameter c, and further describe the simple modules in the category O^sph_c . The main tools we use are categorical Kac-Moody actions on catogories O_c and restriction functors for Harish-Chandra bimodules.

Related

• Representations of rational Cherednik algebras
• Totally aspherical parameters for Cherednik algebras
• On category O for cyclotomic rational Cherednik algebras
• Morita Equivalence of Cherednik Algebras
• Parabolic induction and restriction functors for rational Cherednik algebras