Left-symmetric algebras from linear functions

被引：18
|
作者：
Bai, CN [1 ]
机构：
[1] Nankai Inst Math, Tianjin 300071, Peoples R China
[2] Liu Hui Ctr Appl Math, Tianjin 300071, Peoples R China
[3] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
来源：
JOURNAL OF ALGEBRA | 2004年 / 281卷 / 02期
基金：
中国国家自然科学基金;
关键词：
left-symmetric algebra; linear function; lie algebra;
D O I：
10.1016/j.jalgebra.2004.06.036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, some left-symmetric algebras are constructed from linear functions. They include a kind of simple left-symmetric algebras and some examples appearing in mathematical physics. Their complete classification is also given, which shows that they can be regarded as generalization of certain two-dimensional left-symmetric algebras. (C) 2004 Elsevier Inc. All rights reserved.
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页码：651 / 665
页数：15
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