On compatible Lie and pre-Lie Yamaguti algebras
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866929251932962816 |
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| author | Sania, Asif Imed, Basdouri Amin, Sadraoui Mohamed |
| author_facet | Sania, Asif Imed, Basdouri Amin, Sadraoui Mohamed |
| contents | This study aims to generalize the notion of compatible Lie algebras to the compatible Lie Yamaguti algebras. Along with describing the representation of the compatible Lie Yamaguti algebra in detail, we also introduce the Maurer-Cartan characterization and cohomology of Lie Yamaguti algebras. As a result of the obtained cohomology, we studied its deformation. We define Rota-Baxter operators on compatible Lie Yamaguti algebras as well as on compatible pre-Lie Yamaguti algebras. Using Rota-Baxter operators, we examine how compatible Lie (and compatible pre-Lie) Yamaguti algebras are related. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_08082 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On compatible Lie and pre-Lie Yamaguti algebras Sania, Asif Imed, Basdouri Amin, Sadraoui Mohamed Rings and Algebras 17B38, 17B40, 17B15, 17B56, 17B80, 17B10 This study aims to generalize the notion of compatible Lie algebras to the compatible Lie Yamaguti algebras. Along with describing the representation of the compatible Lie Yamaguti algebra in detail, we also introduce the Maurer-Cartan characterization and cohomology of Lie Yamaguti algebras. As a result of the obtained cohomology, we studied its deformation. We define Rota-Baxter operators on compatible Lie Yamaguti algebras as well as on compatible pre-Lie Yamaguti algebras. Using Rota-Baxter operators, we examine how compatible Lie (and compatible pre-Lie) Yamaguti algebras are related. |
| title | On compatible Lie and pre-Lie Yamaguti algebras |
| topic | Rings and Algebras 17B38, 17B40, 17B15, 17B56, 17B80, 17B10 |
| url | https://arxiv.org/abs/2304.08082 |