Classification of irreducible weight modules over higher rank Virasoro algebras

doi:10.1016/j.aim.2005.10.005

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	Classification of irreducible weight modules over higher rank Virasoro algebras
	Lu, Rencai ; Zhao, Kaiming
	2006-11-10
发表期刊	ADVANCES IN MATHEMATICS
ISSN	0001-8708
卷号	206 期号:2 页码:630-656
摘要	Let G be a rank n additive subgroup of C and Vir[G] the corresponding Virasoro algebra of rank n. In the present paper, irreducible weight modules with finite dimensional weight spaces over Vir[G] are completely determined. There are two different classes of them. One class consists of simple modules of intermediate series whose weight spaces are all I-dimensional. The other is constructed by using intermediate series modules over a Virasoro subalgebra of rank n - 1. The classification of such modules over the classical Virasoro algebra was obtained by O. Mathieu in 1992 using a completely different approach. (C) 2005 Elsevier Inc. All rights reserved.
关键词	Virasoro algebra generalized Virasoro algebra weight module
DOI	10.1016/j.aim.2005.10.005
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000241389300012
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/3124
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, Kaiming
作者单位	1.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 2.Peking Univ, Dept Math, Beijing 100871, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Lu, Rencai,Zhao, Kaiming. Classification of irreducible weight modules over higher rank Virasoro algebras[J]. ADVANCES IN MATHEMATICS,2006,206(2):630-656.
APA	Lu, Rencai,&Zhao, Kaiming.(2006).Classification of irreducible weight modules over higher rank Virasoro algebras.ADVANCES IN MATHEMATICS,206(2),630-656.
MLA	Lu, Rencai,et al."Classification of irreducible weight modules over higher rank Virasoro algebras".ADVANCES IN MATHEMATICS 206.2(2006):630-656.