论文标题

高级$ W $ -Algebra $ W(2,2)$的Harish-Chandra模块

Harish-Chandra modules over the high rank $W$-algebra $W(2,2)$

论文作者

Chen, Haibo

论文摘要

在本文中,使用在\ cite {b1,bf1}中开发的$ \ a $ cover的理论,我们将所有简单的harish-chandra模块完全对高级$ W $ -W $ -Algebra $ W(2,2)$进行了分类。作为副产品,我们在经典的$ W $ -Algebra $ w(2,2)$中获得了简单的Harish-Chandra模块的分类,该模块在\ cite {lgz,clw,glz1}中研究。

In this paper, using the theory of $\A$-cover developed in \cite{B1,BF1}, we completely classify all simple Harish-Chandra modules over the high rank $W$-algebra $W(2,2)$. As a byproduct, we obtain the classification of simple Harish-Chandra modules over the classical $W$-algebra $W(2,2)$ studied in \cite{LGZ,CLW,GLZ1}.

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