A characterization of certain loop Lie algebras

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	A characterization of certain loop Lie algebras
	Osborn, JM ; Zhao, KM
	1999-11-01
发表期刊	JOURNAL OF ALGEBRA
ISSN	0021-8693
卷号	221 期号:1 页码:345-359
摘要	In this paper, we study Z x Z-graded Lie algebras A = + i(j epsilon Z)A(i,j) with dim A(i,j) less than or equal to 1 satisfying (I) dim A(+/-1,0) = dim A(0+/-1) = 1, and A is generated by A(+/-1,0), A(0,+/-1); (II) + (i epsilon Z) A(0,j) similar or equal to sl(2); (III) [A(-1,0), A(1,0)] = 0, and adA(+/-1,0) act faithfully on + (j epsilon z) A(j,1). We show that A is necessarily isomorphic to one of the two smallest loop algebras F[t, t(-1)] x sl(2) and <(sl)over cap>((2))(3) with appropriate grading. (C) 1999 academic Press.
关键词	loop algebra Z x Z-graded Lie algebra
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000083682100016
出版者	ACADEMIC PRESS 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/14184
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, Dept Math, 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. A characterization of certain loop Lie algebras[J]. JOURNAL OF ALGEBRA,1999,221(1):345-359.
APA	Osborn, JM,&Zhao, KM.(1999).A characterization of certain loop Lie algebras.JOURNAL OF ALGEBRA,221(1),345-359.
MLA	Osborn, JM,et al."A characterization of certain loop Lie algebras".JOURNAL OF ALGEBRA 221.1(1999):345-359.