Deformations and extensions of modified $λ$-differential $3$-Lie Algebras
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866912287480086528 |
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| author | Teng, Wen Zhang, Hui |
| author_facet | Teng, Wen Zhang, Hui |
| contents | In this paper, we introduce the representation of modified $λ$-differential $3$-Lie algebras and define the cohomology of modified $λ$-differential $3$-Lie algebras with coefficients in a representation. As applications of the proposed cohomology theory, we study linear deformations, abelian extensions and $T^*$-extensions of modified $λ$-differential $3$-Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_07755 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Deformations and extensions of modified $λ$-differential $3$-Lie Algebras Teng, Wen Zhang, Hui Rings and Algebras 17A40, 17B10, 17B40, 17B56 In this paper, we introduce the representation of modified $λ$-differential $3$-Lie algebras and define the cohomology of modified $λ$-differential $3$-Lie algebras with coefficients in a representation. As applications of the proposed cohomology theory, we study linear deformations, abelian extensions and $T^*$-extensions of modified $λ$-differential $3$-Lie algebras. |
| title | Deformations and extensions of modified $λ$-differential $3$-Lie Algebras |
| topic | Rings and Algebras 17A40, 17B10, 17B40, 17B56 |
| url | https://arxiv.org/abs/2308.07755 |