Derivations, isomorphisms, and second cohomology of generalized Witt algebras
文献类型：期刊论文
| 作者 | Dokovic, DZ; Zhao, KM |
| 刊名 | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 1998-02-01 |
| 卷号 | 350期号:2页码:643-664 |
| 关键词 | simple Lie algebras derivations 2-cocycles automorphism group |
| ISSN号 | 0002-9947 |
| 英文摘要 | Generalized Witt algebras, over a field F of characteristic 0, were defined by Kawamoto about 12 years ago. Using different notations from Kawamoto's, we give an essentially equivalent definition of generalized Witt algebras W = W(A, T, phi) over F, where the ingredients are an abelian group A, a vector space T over F, and a map phi:T x A --> K which is linear in the first variable and additive in the second one. In this paper, the derivations of any generalized Witt:algebra W = W(A, T, phi), with the right kernel of phi being 0, are explicitly described; the isomorphisms between any two simple generalized Witt algebras are completely determined; and the second cohomology group H-2(W, F) for any simple generalized Witt algebra is computed. The derivations, the automorphisms and the second cohomology groups of some special generalized Witt algebras have been studied by several other authors as indicated in the references. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000071977000009 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13625]  |
| 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. Derivations, isomorphisms, and second cohomology of generalized Witt algebras[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,1998,350(2):643-664. |
| APA | Dokovic, DZ,&Zhao, KM.(1998).Derivations, isomorphisms, and second cohomology of generalized Witt algebras.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,350(2),643-664. |
| MLA | Dokovic, DZ,et al."Derivations, isomorphisms, and second cohomology of generalized Witt algebras".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 350.2(1998):643-664. |
入库方式： OAI收割
来源：数学与系统科学研究院
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