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].

引用

页码：447 / 468

页数：22