On nilpotent Lie algebras of small breadth

被引：12
|
作者：
Khuhirun, Borworn [1 ]
Misra, Kailash C. [1 ]
Stitzinger, Ernie [1 ]
机构：
[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
来源：
JOURNAL OF ALGEBRA | 2015年 / 444卷
关键词：
Lie algebra; Nilpotent; Breadth; Classification; P-GROUPS;
D O I：
10.1016/j.jalgebra.2015.07.036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A Lie algebra L is said to be of breadth k if the maximal dimension of the images of left multiplication by elements of the algebra is k. In this paper we give characterization of finite dimensional nilpotent Lie algebras of breadth less than or equal to two. Furthermore, using these characterizations we determined the isomorphism classes of these algebras. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：328 / 338
页数：11
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