首页|Embedding Tensors on 3-Hom-Lie Algebras

Embedding Tensors on 3-Hom-Lie Algebras

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In this paper,we introduce the notion of embedding tensors on 3-Hom-Lie algebras and show that embedding tensors induce naturally 3-Hom-Leibniz algebras.Moreover,the co-homology 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.

3-Hom-Lie algebraembedding tensorrepresentationcohomologydeformation

Wen TENG、Jiulin JIN、Yu ZHANG

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School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guizhou 550025,P.R.China

School of Science,Guiyang University,Guizhou 550005,P.R.China

Scientific Research Foundation for Science & Technology Innovation Talent Team of the Intelligent Computing and Monitoring oScience and Technology Program of Guizhou ProvinceScience and Technology Program of Guizhou ProvinceScience and Technology Program of Guizhou ProvinceNational Natural Science Foundation of ChinaScientific Research Foundation of Guizhou University of Finance and EconomicsDoctoral Research Start-Up Fund of Guiyang University

QJJ[2023]063ZK[2023]025QKHZC[2023]372ZK[2022]031121610132022KYYB08GYU-KY-2024

2024

10.3770/j.issn:2095-2651.2024.02.005

数学研究及应用
大连理工大学

数学研究及应用

影响因子：0.094
ISSN：2095-2651
年,卷(期)：2024.44(2)
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