Classification of simple weight Virasoro modules with a finite-dimensional weight space

doi:10.1016/j.jalgebra.2006.05.007

CSpace

	Classification of simple weight Virasoro modules with a finite-dimensional weight space
	Mazorchuk, Volodymyr ; Zhao, Kaiming
	2007
发表期刊	JOURNAL OF ALGEBRA
ISSN	0021-8693
卷号	307 期号:1 页码:209-214
摘要	We show that the support of a simple weight module over the Virasoro algebra, which has an infinite-dimensional weight space, coincides with the weight lattice and that all non-trivial weight spaces of such module are infinite-dimensional. As a corollary we obtain that every simple weight module over the Virasoro algebra, having a non-trivial finite-dimensional weight space, is a Harish-Chandra module (and hence is either a simple highest or lowest weight module or a simple module from the intermediate series). This implies positive answers to two conjectures about simple pointed and simple mixed modules over the Virasoro algebra. (C) 2006 Elsevier Inc. All rights reserved.
关键词	Virasoro algebra weight module simple module support
DOI	10.1016/j.jalgebra.2006.05.007
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000246418300011
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4947
专题	中国科学院数学与系统科学研究院
通讯作者	Mazorchuk, Volodymyr
作者单位	1.Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden 2.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Mazorchuk, Volodymyr,Zhao, Kaiming. Classification of simple weight Virasoro modules with a finite-dimensional weight space[J]. JOURNAL OF ALGEBRA,2007,307(1):209-214.
APA	Mazorchuk, Volodymyr,&Zhao, Kaiming.(2007).Classification of simple weight Virasoro modules with a finite-dimensional weight space.JOURNAL OF ALGEBRA,307(1),209-214.
MLA	Mazorchuk, Volodymyr,et al."Classification of simple weight Virasoro modules with a finite-dimensional weight space".JOURNAL OF ALGEBRA 307.1(2007):209-214.