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
相关论文
共 50 条
  • [41] Third Cohomology Group and α-Crossed Extensions of Hom-Lie Algebras
    Hoseini, Nafise
    Saeedi, Farshid
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2021, 31 (03)
  • [42] Extensions of n-Hom Lie algebras
    Bai, Ruipu
    Li, Ying
    FRONTIERS OF MATHEMATICS IN CHINA, 2015, 10 (03) : 511 - 522
  • [43] (m, n)-Hom-Lie algebras
    Ma, Tianshui
    Zheng, Huihui
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2018, 92 (1-2): : 59 - 78
  • [44] Extensions of n-Hom Lie algebras
    Ruipu Bai
    Ying Li
    Frontiers of Mathematics in China, 2015, 10 : 511 - 522
  • [45] Cohomology and Deformations of 3-Dimensional Heisenberg Hom-Lie Superalgebras
    Junxia Zhu
    Liangyun Chen
    Czechoslovak Mathematical Journal, 2021, 71 : 335 - 350
  • [46] Cohomology and Deformations of 3-Dimensional Heisenberg Hom-Lie Superalgebras
    Zhu, Junxia
    Chen, Liangyun
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021, 71 (02) : 335 - 350
  • [47] Formal deformations, contractions and moduli spaces of lie algebras
    Fialowski, Alice
    Penkava, Michael
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2008, 47 (02) : 561 - 582
  • [48] Formal Deformations, Contractions and Moduli Spaces of Lie Algebras
    Alice Fialowski
    Michael Penkava
    International Journal of Theoretical Physics, 2008, 47 : 561 - 582
  • [49] On Deformations of n-Lie Algebras
    Makhlouf, Abdenacer
    NON-ASSOCIATIVE AND NON-COMMUTATIVE ALGEBRA AND OPERATOR THEORY, NANCAOT, 2016, 160 : 55 - 81
  • [50] ON THE STRUCTURE OF SPLIT INVOLUTIVE HOM-LIE COLOR ALGEBRAS
    Khalili, Valiollah
    REVISTA DE LA UNION MATEMATICA ARGENTINA, 2019, 60 (01): : 61 - 77
12345