具有非球面参数的环切有理Cherednik代数的表示

arXiv: Representation Theory Pub Date : 2018-08-01 DOI:10.17760/d20291522

Huijun Zhao

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引用次数: 0

摘要

本文描述了具有Weil泛型非球面参数$\mathbf{c}$的切环有理Cherednik代数$H_\mathbf{c}$及其球面子代数$eH_\mathbf{c} e$的所有双边理想，并进一步描述了$\mathbf{O}^{sph}_\mathbf{c}$范畴中的简单模。我们使用的主要工具是范畴$\mathcal{O}_\mathbf{c}$上的范畴Kac-Moody动作和Harish-Chandra双模的限制函子。

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Representations of cyclotomic rational Cherednik algebras with aspherical parameters

In this article, we describe all two sided ideals of a cyclotomic rational Cherednik algebra $H_\mathbf{c}$ and its spherical subalgebra $eH_\mathbf{c} e$ with a Weil generic aspherical parameter $\mathbf{c}$, and further describe the simple modules in the category $\mathcal{O}^{sph}_\mathbf{c}$ . The main tools we use are categorical Kac-Moody actions on catogories $\mathcal{O}_\mathbf{c}$ and restriction functors for Harish-Chandra bimodules.

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arXiv: Representation Theory

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