Z x Z-graded Lie algebras containing a Virasoro algebra and a Heisenberg algebra

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	Z x Z-graded Lie algebras containing a Virasoro algebra and a Heisenberg algebra
	Osborn, JM ; Zhao, KM
	2001
发表期刊	COMMUNICATIONS IN ALGEBRA
ISSN	0092-7872
卷号	29 期号:4 页码:1677-1707
摘要	Let Z be the ring of integers. In this paper we classify Z x Z-graded Lie algebras A = circle plus (i,j is an element ofz) A(i,j) over a characteristic 0 field F with dim A(i,j) less than or equal to 1 for each i and j, satisfying the following three properties: (I) A(0) = circle plus (i is an element ofz) A(i,0) similar or equal to Vir, the centerless Virasoro algebra; (II) A(0,-1), A(0,0), A(0,1) span a Heisenberg algebra; (III) A is generated by the centerless Virasoro algebra and the Heisenberg algebra.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000170043000021
出版者	MARCEL DEKKER INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16163
专题	中国科学院数学与系统科学研究院
通讯作者	Osborn, JM
作者单位	1.Univ Wisconsin, Madison, WI 53706 USA 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Osborn, JM,Zhao, KM. Z x Z-graded Lie algebras containing a Virasoro algebra and a Heisenberg algebra[J]. COMMUNICATIONS IN ALGEBRA,2001,29(4):1677-1707.
APA	Osborn, JM,&Zhao, KM.(2001).Z x Z-graded Lie algebras containing a Virasoro algebra and a Heisenberg algebra.COMMUNICATIONS IN ALGEBRA,29(4),1677-1707.
MLA	Osborn, JM,et al."Z x Z-graded Lie algebras containing a Virasoro algebra and a Heisenberg algebra".COMMUNICATIONS IN ALGEBRA 29.4(2001):1677-1707.