The five-dimensional complete left-symmetric algebra structures compatible with an Abelian Lie algebra structure

被引：5
|
作者：
Dekimpe, K
Igodt, P
Ongenae, V
机构：
[1] Katholieke Universiteit Leuven, B-8500 Kortrijk, Campus Kortrijk
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1997年 / 263卷
关键词：
D O I：
10.1016/S0024-3795(96)00591-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The classification of five-dimensional complete left-symmetric algebras is known to be a hard problem. In this paper we establish an explicit classification of the five-dimensional complete left-symmetric algebras over R, having an abelian associated Lie algebra. A detailed list of all possible isomorphism types is presented. (C) 1997 Elsevier Science Inc.
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页码：349 / 375
页数：27
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