Structure of Weyl type Lie algebras

doi:10.1016/j.jalgebra.2006.04.037

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	Structure of Weyl type Lie algebras
	Lu, Rencai ; Zhao, Kaiming
	2006-12-15
发表期刊	JOURNAL OF ALGEBRA
ISSN	0021-8693
卷号	306 期号:2 页码:552-565
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.
关键词	Weyl type Lie algebras derivations
DOI	10.1016/j.jalgebra.2006.04.037
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000245638700017
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3840
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.