Cohomology and deformations of 3-Lie colour algebras

被引：16
|
作者：
Zhang, Tao [1 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang, Peoples R China
来源：
LINEAR & MULTILINEAR ALGEBRA | 2015年 / 63卷 / 04期
关键词：
abelian extensions; deformations; cohomology; 3-Lie colour algebras; Nijenhuis operators; 17B75; 17B56; 17A40; LIE; LEIBNIZ;
D O I：
10.1080/03081087.2014.891589
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the concept of -Lie colour algebras which is a generalization of -Lie algebras. The cohomology theory of 3-Lie colour algebras is developed. The deformations of 3-Lie colour algebras are considered via the cohomology theory. We also study the abelian extensions of 3-Lie colour algebras in details.
引用
收藏
页码：651 / 671
页数：21
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