Harish-Chandra modules over generalized Heisenberg-Virasoro algebras

被引：12
|
作者：
Liu, Genqiang [1 ]
Guo, Xiangqian [2 ]
机构：
[1] Henan Univ, Coll Math & Informat Sci, Kaifeng 475004, Henan, Peoples R China
[2] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2014年 / 204卷 / 01期
关键词：
IRREDUCIBLE WEIGHT MODULES; VERMA MODULES; CLASSIFICATION;
D O I：
10.1007/s11856-014-1114-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a complete classification of irreducible Harish-Chandra modules for any generalized Heisenberg-Virasoro algebra. In particular, we present a simpler and more conceptual proof of the classification of irreducible Harish-Chandra modules over the classical Heisenberg-Virasoro algebra, which was first obtained by Rencai Lu and Kaiming Zhao in [LZ1]. Our methods are based on the ideas of polynomial modules from [B1, BB].
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页码：447 / 468
页数：22
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