Nonzero level Harish-Chandra modules over the Virasoro-like algebra

被引：26
作者：
Lin, WQ
Tan, SB [1 ]
机构：
[1] Xiamen Univ, Dept Math, Fujian 361005, Peoples R China
[2] Zhangzhou Teachers Coll, Dept Math, Fujian 363000, Peoples R China
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2006年 / 204卷 / 01期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1016/j.jpaa.2005.03.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we study the nonzero level Harish-Chandra modules for the Virasoro-like algebra. We prove that a nonzero level Harish-Chandra module of the Virasoro-like algebra is a generalized highest weight (GHW for short) module. Then we prove that a GHW module of the Virasoro-like algebra is induced from an irreducible module of a Heisenberg subalgebra. (c) 2005 Elsevier B.V. All rights reserved.
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收藏
页码：90 / 105
页数：16
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