Cohomologies and deformations of weighted Rota-Baxter Lie algebras and associative algebras with derivations
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913313412087808 |
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| author | Imed, Basdouri Amin, Sadraoui Mohamed Guo, Shuangjian |
| author_facet | Imed, Basdouri Amin, Sadraoui Mohamed Guo, Shuangjian |
| contents | The purpose of the present paper is to investigate cohomologies and deformations of weighted Rota-Baxter Lie algebras as well as weighted Rota-Baxter associative algebras with derivations. First we introduce a notion of weighted Rota-Baxter LieDer and weighted Rota-Baxter AssDer pairs. Then we construct cohomologies of weighted Rota-Baxter LieDer pairs, weighted Rota-Baxter AssDer pairs and we discuss the relation between their cohmologies. Finally, as an application, we study deformations of both of them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06272 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cohomologies and deformations of weighted Rota-Baxter Lie algebras and associative algebras with derivations Imed, Basdouri Amin, Sadraoui Mohamed Guo, Shuangjian Rings and Algebras The purpose of the present paper is to investigate cohomologies and deformations of weighted Rota-Baxter Lie algebras as well as weighted Rota-Baxter associative algebras with derivations. First we introduce a notion of weighted Rota-Baxter LieDer and weighted Rota-Baxter AssDer pairs. Then we construct cohomologies of weighted Rota-Baxter LieDer pairs, weighted Rota-Baxter AssDer pairs and we discuss the relation between their cohmologies. Finally, as an application, we study deformations of both of them. |
| title | Cohomologies and deformations of weighted Rota-Baxter Lie algebras and associative algebras with derivations |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2402.06272 |