Classification of solvable Lie algebras

被引：63

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.

引用

页码：15 / 25

页数：11

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