Modified Rota-Baxter Lie-Yamaguti algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917579522572288 |
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| author | Teng, Wen Guo, Shuangjian |
| author_facet | Teng, Wen Guo, Shuangjian |
| contents | In this paper, first we introduce the concept of modified Rota-Baxter Lie-Yamaguti algebras. Then the cohomology of a modified Rota-Baxter Lie-Yamaguti algebra with coefficients in a suitable representation is established. As applications, the formal deformations and abelian extensions of modified Rota-Baxter Lie-Yamaguti algebras are studied using the second cohomology group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17726 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modified Rota-Baxter Lie-Yamaguti algebras Teng, Wen Guo, Shuangjian Rings and Algebras 17B38, 17B60, 17B56, 17D99 In this paper, first we introduce the concept of modified Rota-Baxter Lie-Yamaguti algebras. Then the cohomology of a modified Rota-Baxter Lie-Yamaguti algebra with coefficients in a suitable representation is established. As applications, the formal deformations and abelian extensions of modified Rota-Baxter Lie-Yamaguti algebras are studied using the second cohomology group. |
| title | Modified Rota-Baxter Lie-Yamaguti algebras |
| topic | Rings and Algebras 17B38, 17B60, 17B56, 17D99 |
| url | https://arxiv.org/abs/2401.17726 |