Some infinite-dimensional simple Lie algebras in characteristic 0 related to those of Block

CSpace

	Some infinite-dimensional simple Lie algebras in characteristic 0 related to those of Block
	Dokovic, DZ ; Zhao, KM
	1998-05-15
发表期刊	JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN	0022-4049
卷号	127 期号:2 页码:153-165
摘要	Given a nontrivial torsion-free abelian group (A,+,0), a field F of characteristics 0, and a nondegenerate bi-additive skew-symmetric map phi:AXA --> F, we study the Lie algebra L(A,phi) over F with basis {e(x): x is an element of A\{0}} and multiplication [e(x),e(y)] = phi(x,y)Ex+y. We show that L(A,phi) is simple, determine its derivations, and show that the locally finite derivations D have the form D(e(x)) = mu(x)e(x), mu is an element of Hom(A,F). We describe all isomorphisms between two such algebras. Finally, we compute H-2(L,F). (C) 1998 Elsevier Science B.V. All rights reserved.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000073420100006
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13773
专题	中国科学院数学与系统科学研究院
通讯作者	Dokovic, DZ
作者单位	1.Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Dokovic, DZ,Zhao, KM. Some infinite-dimensional simple Lie algebras in characteristic 0 related to those of Block[J]. JOURNAL OF PURE AND APPLIED ALGEBRA,1998,127(2):153-165.
APA	Dokovic, DZ,&Zhao, KM.(1998).Some infinite-dimensional simple Lie algebras in characteristic 0 related to those of Block.JOURNAL OF PURE AND APPLIED ALGEBRA,127(2),153-165.
MLA	Dokovic, DZ,et al."Some infinite-dimensional simple Lie algebras in characteristic 0 related to those of Block".JOURNAL OF PURE AND APPLIED ALGEBRA 127.2(1998):153-165.