Cohomology and deformation theory of Averaging Leibniz algebras
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917135942418432 |
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| author | Mosbahi, Bouzid Basdouri, Imed Lerbet, Jean |
| author_facet | Mosbahi, Bouzid Basdouri, Imed Lerbet, Jean |
| contents | In this paper, we introduce the concepts of representation and dual representation for averaging Leibniz algebras. We also develop a cohomology theory for these algebras. Additionally, we explore the infinitesimal and formal deformation theories of averaging Leibniz algebras, showing that the cohomology we define is closely connected to deformation cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09328 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cohomology and deformation theory of Averaging Leibniz algebras Mosbahi, Bouzid Basdouri, Imed Lerbet, Jean Rings and Algebras In this paper, we introduce the concepts of representation and dual representation for averaging Leibniz algebras. We also develop a cohomology theory for these algebras. Additionally, we explore the infinitesimal and formal deformation theories of averaging Leibniz algebras, showing that the cohomology we define is closely connected to deformation cohomology. |
| title | Cohomology and deformation theory of Averaging Leibniz algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2512.09328 |