An overview of free nilpotent Lie algebras

被引:0
作者
Benito, Pilar [1 ]
de-la-Concepcion, Daniel [1 ]
机构
[1] Univ La Rioja, Dept Matemat & Comp, Logrono 26004, Spain
来源
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2014年 / 55卷 / 03期
关键词
Lie algebra; Levi subalgebra; nilpotent; free nilpotent; derivation; automorphism; representation;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Any nilpotent Lie algebra is a quotient of a free nilpotent Lie algebra of the same nilindex and type. In this paper we review some nice features of the class of free nilpotent Lie algebras. We will focus on the survey of Lie algebras of derivations and groups of automorphisms of this class of algebras. Three research projects on nilpotent Lie algebras will be mentioned.
引用
收藏
页码:325 / 339
页数:15
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