Classification of solvable Leibniz algebras with naturally graded filiform nilradical

被引：41
|
作者：
Casas, J. M. [1 ]
Ladra, M. [2 ]
Omirov, B. A. [3 ]
Karimjanov, I. A. [3 ]
机构：
[1] Univ Vigo, Dpto Matemat Aplicada 1, Pontevedra 36005, Spain
[2] Univ Santiago, Dept Algebra, Santiago 15782, Spain
[3] Natl Univ Uzbekistan, Inst Math, Tashkent 100125, Uzbekistan
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 438卷 / 07期
关键词：
Lie algebra; Leibniz algebra; Natural graduation; Filiform algebra; Solvability; Nilpotency; Nilradical; Derivation; Nil-independence; LIE-ALGEBRAS;
D O I：
10.1016/j.laa.2012.11.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we show that the method for describing solvable Lie algebras with given nilradical by means of non-nilpotent outer derivations of the nilradical is also applicable to the case of Leibniz algebras. Using this method we extend the classification of solvable Lie algebras with naturally graded filiform Lie algebra to the case of Leibniz algebras. Namely, the classification of solvable Leibniz algebras whose nilradical is a naturally graded filiform Leibniz algebra is obtained. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：2973 / 3000
页数：28
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