Embedding tensors on 3-Hom-Lie algebras
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866908536050548736 |
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| author | Teng, Wen Jin, Jiulin Zhang, Yu |
| author_facet | Teng, Wen Jin, Jiulin Zhang, Yu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_00961 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Embedding tensors on 3-Hom-Lie algebras Teng, Wen Jin, Jiulin Zhang, Yu Rings and Algebras 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. |
| title | Embedding tensors on 3-Hom-Lie algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2307.00961 |