Cohomologies of modified $λ$-differential Lie triple systems and applications
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866917965275856896 |
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| author | Teng, Wen Long, Fengshan Zhang, Yu |
| author_facet | Teng, Wen Long, Fengshan Zhang, Yu |
| contents | In this paper, we introduce the concept and representation of modified $λ$-differential Lie triple systems. Next, we define the cohomology of modified $λ$-differential Lie triple systems with coefficients in a suitable representation. As applications of the proposed cohomology theory, we study 1-parameter formal deformations and abelian extensions of modified $λ$-differential Lie triple systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_10828 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Cohomologies of modified $λ$-differential Lie triple systems and applications Teng, Wen Long, Fengshan Zhang, Yu Rings and Algebras 17A30, 17A42, 17B10, 17B56 In this paper, we introduce the concept and representation of modified $λ$-differential Lie triple systems. Next, we define the cohomology of modified $λ$-differential Lie triple systems with coefficients in a suitable representation. As applications of the proposed cohomology theory, we study 1-parameter formal deformations and abelian extensions of modified $λ$-differential Lie triple systems. |
| title | Cohomologies of modified $λ$-differential Lie triple systems and applications |
| topic | Rings and Algebras 17A30, 17A42, 17B10, 17B56 |
| url | https://arxiv.org/abs/2307.10828 |