Classification of solvable Lie algebras

被引：64
|
作者：
de Graaf, WA [1 ]
机构：
[1] Johann Radon Inst Computat & Appl Math, Linz, Austria
来源：
EXPERIMENTAL MATHEMATICS | 2005年 / 14卷 / 01期
关键词：
Lie algebras; classification; Grobner bases;
D O I：
10.1080/10586458.2005.10128911
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we describe a simple method for obtaining a classification of small-dimensional solvable Lie algebras. Using this method, we obtain the classification of three- and four-dimensional solvable Lie algebras (over fields of any characteristic). Precise conditions for isomorphism are given.
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页码：15 / 25
页数：11
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