KMS Of Academy of mathematics and systems sciences, CAS
Some infinite-dimensional simple Lie algebras in characteristic 0 related to those of Block | |
Dokovic, DZ; Zhao, KM | |
1998-05-15 | |
Source Publication | JOURNAL OF PURE AND APPLIED ALGEBRA |
ISSN | 0022-4049 |
Volume | 127Issue:2Pages:153-165 |
Abstract | 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. |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000073420100006 |
Publisher | ELSEVIER SCIENCE BV |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/13773 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | 1.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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