3-ary Hom-Lie Superalgebras Induced By Hom-Lie Superalgebras

被引:1
作者
Baoling Guan
Liangyun Chen
Bing Sun
机构
[1] Qiqihar University,College of Sciences
[2] Northeast Normal University,School of Mathematics and Statistics
来源
Advances in Applied Clifford Algebras | 2017年 / 27卷
关键词
Hom-Lie superalgebras; 3-ary Hom-Lie superalgebras; Solvable; Central extension; Cohomology; 17A40; 17B70; 17B30; 17B55;
D O I
暂无
中图分类号
学科分类号
摘要
The purpose of this paper is to study the relationships between a Hom-Lie superalgebra and its induced 3-ary-Hom-Lie superalgebra. We provide an overview of the theory and explore the structure properties such as ideals, center, derived series, solvability, nilpotency, central extensions, and the cohomology.
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页码:3063 / 3082
页数:19
相关论文
共 29 条
[1]  
Abramov V(2017)Super 3-Lie algebras induced by super Lie algebras Adv. Appl. Clifford Algebr. 27 9-16
[2]  
Ammar F(2010)Hom-Lie superalgebras and Hom-Lie admissible superalgebras J. Algebra 324 1513-1528
[3]  
Makhlouf A(2013)Cohomology of Hom-Lie superalgebras and Czechoslovak Math. J. 138 721-761
[4]  
Ammar F(2014)-deformed Witt superalgebras Algebra, Geom Math Phys 85 123-144
[5]  
Makhlouf A(2009)Structure and cohomology of 3-Lie algebras induced by Lie algebras J. Math. Phys. 50 083501-853
[6]  
Saadaoui N(2010)Generalization of Comm. Math. Phys. 298 833-141
[7]  
Arnlind J(1997)-ary Nambu algebras and beyond Lett. Math. Phys. 39 127-891
[8]  
Kitouni A(1985)Classification of simple linearly compact Sib. Math. J. 26 879-116
[9]  
Makhlouf A(1996)-Lie superalgebras Lett. Math. Phys. 37 103-166
[10]  
Silvestrov S(1987)Leibniz and Lie algebra structures for Nambu algebra Algebra Log. 26 155-95