Embedding Tensors on 3-Hom-Lie Algebras

Wen TENG ¹Jiulin JIN ²Yu ZHANG¹

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作者信息

1. School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guizhou 550025,P.R.China
2. School of Science,Guiyang University,Guizhou 550005,P.R.China
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Abstract

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.

Key words

3-Hom-Lie algebra/embedding tensor/representation/cohomology/deformation

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基金项目

Scientific Research Foundation for Science & Technology Innovation Talent Team of the Intelligent Computing and Monitoring o(QJJ[2023]063)

Science and Technology Program of Guizhou Province(ZK[2023]025)

Science and Technology Program of Guizhou Province(QKHZC[2023]372)

Science and Technology Program of Guizhou Province(ZK[2022]031)

National Natural Science Foundation of China(12161013)

Scientific Research Foundation of Guizhou University of Finance and Economics(2022KYYB08)

Doctoral Research Start-Up Fund of Guiyang University(GYU-KY-2024)

出版年

2024

数学研究及应用

大连理工大学

数学研究及应用

CSCD

影响因子：0.094

ISSN：2095-2651

参考文献量20

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