CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG-VIRASORO ALGEBRA

doi:10.1142/S0219199710003786

CSpace

	CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG-VIRASORO ALGEBRA
	Lue, Rencai 1; Zhao, Kaiming 2,3
	2010-04-01
发表期刊	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
ISSN	0219-1997
卷号	12 期号:2 页码:183-205
摘要	In this paper, all irreducible weight modules with finite dimensional weight spaces over the twisted Heisenberg-Virasoro algebra are determined. There are two different classes of them. One class is formed by simple modules of intermediate series, whose nonzero weight spaces are all 1-dimensional; the other class consists of the irreducible highest weight modules and lowest weight modules.
关键词	Virasoro algebra twisted Heisenberg-Virasoro algebra weight module
DOI	10.1142/S0219199710003786
语种	英语
资助项目	NSERC ; NSF of China[10601057] ; NSF of China[10871192]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000276981600001
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10306
专题	中国科学院数学与系统科学研究院
通讯作者	Lue, Rencai
作者单位	1.Suzhou Univ, Dept Math, Suzhou 215006, Jiangsu, Peoples R China 2.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 3.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Lue, Rencai,Zhao, Kaiming. CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG-VIRASORO ALGEBRA[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2010,12(2):183-205.
APA	Lue, Rencai,&Zhao, Kaiming.(2010).CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG-VIRASORO ALGEBRA.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,12(2),183-205.
MLA	Lue, Rencai,et al."CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG-VIRASORO ALGEBRA".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 12.2(2010):183-205.