Second cohomology of generalized Cartan type S Lie algebras in characteristic zero
文献类型：期刊论文
| 作者 | Dokovic, DZ; Zhao, KM |
| 刊名 | JOURNAL OF PURE AND APPLIED ALGEBRA
 |
| 出版日期 | 1999-03-15 |
| 卷号 | 136期号:2页码:101-126 |
| ISSN号 | 0022-4049 |
| 英文摘要 | Let W = W(A, T, phi) be a simple generalized Witt algebra over a field F of characteristic 0 built from an abelian torsion-free group A, an F-vector space T, and a pairing phi:TxA-->F. For simplicity, assume that dim T greater than or equal to 4. Let L = t(z)S, z is an element of A, be the simple subalgebras of W of generalized Cartan type S, as introduced in our earlier paper (1997). We show that H-2(L,F) is isomorphic to the space of skew-symmetric bilinear forms T x T-->F. (C) 1999 Elsevier Science B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000079109700001 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14315]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhao, KM |
| 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. Second cohomology of generalized Cartan type S Lie algebras in characteristic zero[J]. JOURNAL OF PURE AND APPLIED ALGEBRA,1999,136(2):101-126. |
| APA | Dokovic, DZ,&Zhao, KM.(1999).Second cohomology of generalized Cartan type S Lie algebras in characteristic zero.JOURNAL OF PURE AND APPLIED ALGEBRA,136(2),101-126. |
| MLA | Dokovic, DZ,et al."Second cohomology of generalized Cartan type S Lie algebras in characteristic zero".JOURNAL OF PURE AND APPLIED ALGEBRA 136.2(1999):101-126. |
入库方式： OAI收割
来源：数学与系统科学研究院
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