Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra

被引：15

作者：

Liu, Dong ^{[1
]}

机构：

[1] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2016年 / 447卷

关键词：

Virasoro algebra; Schrodinger-Virasoro algebra; Harish-Chandra module; SCHRODINGER INVARIANCE; CONJECTURE; SPACE;

D O I：

10.1016/j.jalgebra.2015.09.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we provide a uniform method to thoroughly classify all Harish-Chandra modules over some Lie algebras related to the Virasoro algebras. We first classify such modules over the Lie algebra W(rho) [s] for s = 0, 1/2. With this result and method, we can also do such works for some Lie algebras related to the Virasoro algebra, including the several kinds of Schrodinger Virasoro Lie algebras, which are open up to now. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：548 / 559

页数：12

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