Cohomologies of modified Rota-Baxter Lie algebras with derivations and applications
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910409368272896 |
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| author | Basdouri, Imed Benabdelhafidh, Sami Sadraoui, Mohamed Amin |
| author_facet | Basdouri, Imed Benabdelhafidh, Sami Sadraoui, Mohamed Amin |
| contents | In this paper, first, we introduce a notion of modified Rota-Baxter Lie algebras of weight $\mathrmλ$ with derivations (or simply modified Rota-Baxter LieDer pairs) and their representations. Moreover, we investigate cohomologies of a modified Rota-Baxter LieDer pairs with coefficients in a suitable representation. As applications, we study formal one-parameter deformations and abelian extensions of modified Rota-Baxter LieDer pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_08095 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cohomologies of modified Rota-Baxter Lie algebras with derivations and applications Basdouri, Imed Benabdelhafidh, Sami Sadraoui, Mohamed Amin Rings and Algebras In this paper, first, we introduce a notion of modified Rota-Baxter Lie algebras of weight $\mathrmλ$ with derivations (or simply modified Rota-Baxter LieDer pairs) and their representations. Moreover, we investigate cohomologies of a modified Rota-Baxter LieDer pairs with coefficients in a suitable representation. As applications, we study formal one-parameter deformations and abelian extensions of modified Rota-Baxter LieDer pairs. |
| title | Cohomologies of modified Rota-Baxter Lie algebras with derivations and applications |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2403.08095 |