Z x Z-graded Lie algebras generated by the Virasoro algebra and sl(2)

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	Z x Z-graded Lie algebras generated by the Virasoro algebra and sl(2)
	Su, YC ; Zhang, JF ; Zhao, K
	2002
发表期刊	MATHEMATISCHE NACHRICHTEN
ISSN	0025-584X
卷号	246 页码:188-201
摘要	The present paper is another step toward the classification of Z x Z-graded Lie algebras: we classify Z x Z-graded Lie algebras A = circle plus(i,jis an element ofZ) A(ij) over a field F of characteristic 0 with dim A(i,j) less than or equal to 1 for i, j is an element of Z, satisfying: (1) A(0) = circle plus(iis an element ofZ) A(i,0) similar or equal to Vir, the centerless Virasoro algebra, (2) A(0,-1), A(0,0), A(0,1) span the 3-dimensional simple Lie algebra sl(2), (3) A is generated by the centerless Virasoro algebra and sl(2). These algebras include some rank 2 centerless Virasorc, algebras, and some rank 2 Block algebras and their extensions.
关键词	Z x Z-graded Lie algebras Virasoro algebra Block algebras
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000180528500012
出版者	WILEY-V C H VERLAG GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17122
专题	中国科学院数学与系统科学研究院
通讯作者	Su, YC
作者单位	1.Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Su, YC,Zhang, JF,Zhao, K. Z x Z-graded Lie algebras generated by the Virasoro algebra and sl(2)[J]. MATHEMATISCHE NACHRICHTEN,2002,246:188-201.
APA	Su, YC,Zhang, JF,&Zhao, K.(2002).Z x Z-graded Lie algebras generated by the Virasoro algebra and sl(2).MATHEMATISCHE NACHRICHTEN,246,188-201.
MLA	Su, YC,et al."Z x Z-graded Lie algebras generated by the Virasoro algebra and sl(2)".MATHEMATISCHE NACHRICHTEN 246(2002):188-201.