Characterization of capable nilpotent n-Lie algebras of class two by their Schur multipliers

被引：0
作者：
Zahra Hoseini
Farshid Saeedi
Hamid Darabi
机构：
[1] Islamic Azad University,Department of Mathematics, Mashhad Branch
[2] Esfarayen University of Technology,Department of Mathematics
来源：
Rendiconti del Circolo Matematico di Palermo Series 2 | 2019年 / 68卷
关键词：
Capable ; -Lie algebra; Schur multiplier; Nilpotent ; -Lie algebra; Primary 17B05; 17B30; Secondary 17D99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we classify the generalized Heisenberg nilpotent n-Lie algebras of rank two with dimension at most 2n+3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2n+3$$\end{document}. Using them, we classify capable nilpotent n-Lie algebras with two-dimensional derived subalgebra. We also obtain the dimension of the Schur multiplier of nilpotent n-Lie algebras of class two with two-dimensional derived subalgebra.
引用
收藏
页码：541 / 551
页数：10
相关论文
共 29 条
[1]  
Bai R(2011)On classification of Front. Math. China 6 581-606
[2]  
Song G(2008)-Lie algebras Linear Algebra Appl. 428 1912-1920
[3]  
Zhang Y(2017)The structure of low dimensional J. Lie Theory 27 271-281
[4]  
Bai R(2016)-Lie algebras over a field of characteristic 2 J. Geom. Phys. 101 100-107
[5]  
Wang X(2016)On the Schur multiplier of J. Geom. Phys. 110 25-29
[6]  
Xiao W(2016)-Lie algebras J. Algebra 450 162-172
[7]  
An H(1985)A characterization of finite dimensional nilpotent Filippov algebras Siberian Math. J. 26 126-140
[8]  
Darabi H(1987)Capable Algebra i Logika 26 277-297
[9]  
Saeedi F(2016)-Lie algebras and the classification of nilpotent Proc. Am. Math. Soc. 144 4157-4168
[10]  
Darabi H(2013)-Lie algebras with J. Algebra 384 36-44
123