Structure of Weyl type Lie algebras

被引:0
作者
Lu, Rencai
Zhao, Kaiming [1 ]
机构
[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
基金
加拿大自然科学与工程研究理事会; 美国国家科学基金会;
关键词
Weyl type Lie algebras; derivations;
D O I
10.1016/j.jalgebra.2006.04.037
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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.
引用
收藏
页码:552 / 565
页数:14
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