Embedding tensors on 3-Hom-Lie algebras
Rings and Algebras
2025-09-16 v1
Abstract
In this paper, we introduce the notion of embedding tensor on 3-Hom-Lie algebras and naturally induce 3-Hom-Leibniz algebras. Moreover, the cohomology theory of embedding tensors on 3-Hom-Lie algebras is defined. As an application, we show that if two linear deformations of an embedding tensor on a 3-Hom-Lie algebra are equivalent, then their infinitesimals belong to the same cohomology class in the first cohomology group.
Cite
@article{arxiv.2307.00961,
title = {Embedding tensors on 3-Hom-Lie algebras},
author = {Wen Teng and Jiulin Jin and Yu Zhang},
journal= {arXiv preprint arXiv:2307.00961},
year = {2025}
}