Structure of low dimensional n-Lie algebras over a field of characteristic 2

被引：16

作者：

Bai, Rui-pu ^{[1
]}

Wang, Xiao-ling ^{[1
]}

Xiao, Wen-ying ^{[1
]}

An, Hong-wei ^{[1
]}

机构：

[1] Hebei Univ, Coll Math & Comp, Baoding 071002, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 428卷 / 8-9期

基金：

美国国家科学基金会;

关键词：

n-Lie algebras; classification; low dimensions; characteristic; 2;

D O I：

10.1016/j.laa.2007.10.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we classify n + 1 dimensional n-Lie algebras over a field F of characteristic 2 and prove that there are no simple n + 2 dimensional n-Lie algebras. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：1912 / 1920

页数：9

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