Cohomology of Restricted Poisson algebras in characteristic 2
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866917991762886656 |
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| author | Bouarroudj, Sofiane Ehret, Quentin Liu, Jiefeng |
| author_facet | Bouarroudj, Sofiane Ehret, Quentin Liu, Jiefeng |
| contents | In this paper, we study restricted Poisson algebras in characteristic 2 and their relationship with restricted Lie-Rinehart algebras, for which we develop a cohomology theory and investigate abelian extensions. We also construct a full cohomology complex for restricted Poisson algebras in characteristic 2 that captures formal deformations and prove that it is isomorphic to the cohomology complex of a suitable restricted Lie-Rinehart algebra, under certain assumptions.
A number of examples are provided in order to illustrate our constructions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07601 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cohomology of Restricted Poisson algebras in characteristic 2 Bouarroudj, Sofiane Ehret, Quentin Liu, Jiefeng Representation Theory 17B50, 17B56, 17B60, 17B63 In this paper, we study restricted Poisson algebras in characteristic 2 and their relationship with restricted Lie-Rinehart algebras, for which we develop a cohomology theory and investigate abelian extensions. We also construct a full cohomology complex for restricted Poisson algebras in characteristic 2 that captures formal deformations and prove that it is isomorphic to the cohomology complex of a suitable restricted Lie-Rinehart algebra, under certain assumptions. A number of examples are provided in order to illustrate our constructions. |
| title | Cohomology of Restricted Poisson algebras in characteristic 2 |
| topic | Representation Theory 17B50, 17B56, 17B60, 17B63 |
| url | https://arxiv.org/abs/2504.07601 |