Cohomology and Formal Deformations of n-Hom-Lie Color Algebras

被引：0
|
作者：
Abdaoui, K. [1 ]
Gharbi, R. [1 ,2 ]
Mabrouk, S. [3 ]
Makhlouf, A. [2 ]
机构：
[1] Univ Sfax, Fac Sci Sfax, Sfax, Tunisia
[2] Univ Haute Alsace, Dept Math, IRIMAS, Mulhouse, France
[3] Univ Gafsa, Fac Sci Gafsa, Gafsa, Tunisia
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2024年 / 75卷 / 9期
关键词：
GENERALIZED DERIVATIONS; ENVELOPING-ALGEBRAS; REPRESENTATIONS; LEIBNIZ;
D O I：
10.1007/s11253-024-02264-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide a cohomology of n-Hom-Lie color algebras, in particular, a cohomology governing one-parameter formal deformations. Then we also study formal deformations of the n-Hom-Lie color algebras and introduce the notion of Nijenhuis operator on an n-Hom-Lie color algebra, which may give rise to infinitesimally trivial (n - 1)th-order deformations. Furthermore, in connection with Nijenhuis operators, we introduce and discuss the notion of product structure on n-Hom-Lie color algebras.
引用
收藏
页码：1313 / 1339
页数：27
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