| Relative Rota-Baxter Operators on Hom-Lie-Yamaguti Algebras |
| Received:October 06, 2022 Revised:February 26, 2023 |
| Key Words:
Hom-Lie-Yamaguti algebra relative Rota-Baxter operator cohomology deformation
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| Fund Project:Supported by the Foundation of Science and Technology of Guizhou Province (Grant No.[2018]1020), the Guizhou University of Finance and Economics introduced talent research projects (2016) and the National Natural Science Foundation of China (Grant No.12161013). |
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| Abstract: |
| In this paper, we first introduce the notion of relative Rota-Baxter operators on Hom-Lie-Yamaguti algebras and give some characteristics of relative Rota-Baxter operators in terms of Nijenhuis operators and graphs. Then, the cohomology theory of relative Rota-Baxter operators on Hom-Lie-Yamaguti algebras is proposed. Finally, the deformation of the relative Rota-Baxter operator is explored by applying the cohomological approach. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2023.06.002 |
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