On classification of n-Lie algebras

被引：41

作者：

Bai, Ruipu ^{[1
]}

Song, Guojie ^{[1
]}

Zhang, Yaozhong ^{[2
]}

机构：

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

[2] Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2011年 / 6卷 / 04期

基金：

中国国家自然科学基金; 澳大利亚研究理事会;

关键词：

n-Lie algebra; classification; multiplication table;

D O I：

10.1007/s11464-011-0107-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the isomorphic criterion theorem for (n + 2)-dimensional n-Lie algebras, and give a complete classification of (n + 2)-dimensional n-Lie algebras over an algebraically closed field of characteristic zero.

引用

页码：581 / 606

页数：26

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