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Some infinite-dimensional simple Lie algebras in characteristic 0 related to those of Block
Dokovic, DZ; Zhao, KM
1998-05-15
Source PublicationJOURNAL OF PURE AND APPLIED ALGEBRA
ISSN0022-4049
Volume127Issue:2Pages:153-165
AbstractGiven 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.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000073420100006
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:11[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/13773
Collection中国科学院数学与系统科学研究院
Affiliation1.Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada
2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
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.
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