Deformations and extensions of modified $λ$-differential Lie-Yamaguti algebras
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912590265843712 |
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| author | Teng, Wen |
| author_facet | Teng, Wen |
| contents | In this paper, we first introduce the concept and representations of modified $λ$-differential Lie-Yamaguti algebras. We then establish the cohomology of a modified $λ$-differential Lie-Yamaguti algebra with coefficients in a representation. As applications, we investigate the formal deformations and abelian extensions of modified $λ$-differential Lie-Yamaguti algebras by using the second cohomology group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17015 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deformations and extensions of modified $λ$-differential Lie-Yamaguti algebras Teng, Wen Rings and Algebras 17B38, 17B60, 17B56, 17D99 In this paper, we first introduce the concept and representations of modified $λ$-differential Lie-Yamaguti algebras. We then establish the cohomology of a modified $λ$-differential Lie-Yamaguti algebra with coefficients in a representation. As applications, we investigate the formal deformations and abelian extensions of modified $λ$-differential Lie-Yamaguti algebras by using the second cohomology group. |
| title | Deformations and extensions of modified $λ$-differential Lie-Yamaguti algebras |
| topic | Rings and Algebras 17B38, 17B60, 17B56, 17D99 |
| url | https://arxiv.org/abs/2403.17015 |