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arXiv · 2205.08341

Cohomology and formal deformations of n-Hom-Lie color algebras

K. Abdaoui·R. Gharbi·S. Mabrouk·A. Makhlouf
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Abstract

The aim of this paper is to provide a cohomology of $n$-Hom-Lie color algebras governing one parameter formal deformations. Then, we study formal deformations of a $n$-Hom-Lie color algebra and introduce the notion of Nijenhuis operator on an $n$-Hom-Lie color algebra, which could give rise to infinitesimally trivial $(n-1)$-order deformations. Furthermore, in connection with Nijenhuis operators we introduce and discuss the notion of a product structure on $n$-Hom-Lie color algebras.

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BibTeXRIS

K. Abdaoui, R. Gharbi, S. Mabrouk, A. Makhlouf. 2022-05-17. Cohomology and formal deformations of n-Hom-Lie color algebras. https://arxiv.org/abs/2205.08341

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