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arXiv · 2307.00961

Embedding tensors on 3-Hom-Lie algebras

Wen Teng·Jiulin Jin·Yu Zhang
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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.

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Wen Teng, Jiulin Jin, Yu Zhang. 2023-05-30. Embedding tensors on 3-Hom-Lie algebras. https://doi.org/10.3770/j.issn%3A2095-2651.2024.02.005

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