Structure of Weyl type Lie algebras
文献类型：期刊论文
| 作者 | Lu, Rencai; Zhao, Kaiming |
| 刊名 | JOURNAL OF ALGEBRA
 |
| 出版日期 | 2006-12-15 |
| 卷号 | 306期号:2页码:552-565 |
| 关键词 | Weyl type Lie algebras derivations |
| ISSN号 | 0021-8693 |
| DOI | 10.1016/j.jalgebra.2006.04.037 |
| 英文摘要 | Let A be a unital commutative associative algebra over a field F of characteristic zero, D a commutative subalgebra of Der(F)(A) (all derivations of the associative algebra A). We assume that A is D-simple and denote the center of the Weyl type algebra A[D] by F-1 which is an extension field of F when A[D] is simple. In this paper, it is proved that the simple associative algebras A[D] are noncommutative domains, and then the derivations of the simple associative algebras A[D] and of the associated Lie algebras A[D](L) re completely determined when dim(F1) F-1 D < infinity. (c) 2006 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000245638700017 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3839]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhao, Kaiming |
| 作者单位 | 1.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 2.Peking Univ, Dept Math, Beijing 100375, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lu, Rencai,Zhao, Kaiming. Structure of Weyl type Lie algebras[J]. JOURNAL OF ALGEBRA,2006,306(2):552-565. |
| APA | Lu, Rencai,&Zhao, Kaiming.(2006).Structure of Weyl type Lie algebras.JOURNAL OF ALGEBRA,306(2),552-565. |
| MLA | Lu, Rencai,et al."Structure of Weyl type Lie algebras".JOURNAL OF ALGEBRA 306.2(2006):552-565. |
入库方式： OAI收割
来源：数学与系统科学研究院
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