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

被引：14
作者：
Guan, Baoling [1 ]
Chen, Liangyun [2 ]
Sun, Bing [2 ]
机构：
[1] Qiqihar Univ, Coll Sci, Qiqihar 161006, Peoples R China
[2] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2017年 / 27卷 / 04期
关键词：
Hom-Lie superalgebras; 3-ary Hom-Lie superalgebras; Solvable; Central extension; Cohomology; COHOMOLOGY; EXTENSIONS;
D O I：
10.1007/s00006-017-0801-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：3063 / 3082
页数：20
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