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arXiv · 2104.08816

Representations and Deformations of 3-Hom-$\rho$-Lie algebras

E. Peyghan·Z. Bagheri·I. Gultekin·A. Gezer
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Abstract

The aim of this paper is to introduce 3-Hom-$\rho$-Lie algebra structures generalizing the algebras of 3-Hom-Lie algebra. Also, we investigate the representations and deformations theory of this type of Hom-Lie algebras. Moreover, we introduce the definition of extensions and abelian extensions of 3-Hom-$\rho$-Lie algebras and show that associated to any abelian extension, there is a representation and a 2-cocycle.

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BibTeXRIS

E. Peyghan, Z. Bagheri, I. Gultekin, A. Gezer. 2021-04-18. Representations and Deformations of 3-Hom-$\rho$-Lie algebras. https://arxiv.org/abs/2104.08816

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