Fundamental theorem of Poisson 3-Lie $(A,H)$-Hopf modules
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908558156627968 |
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| author | Lu, Daowei Wang, Dingguo |
| author_facet | Lu, Daowei Wang, Dingguo |
| contents | Let $H$ be a Hopf algebra with a bijective antipode and $A$ an $H$-comodule Poisson 3-Lie algebra. Assume that there exists an $H$-colinear map which is also an algebra map from $H$ to the Poisson center of $A$. In this paper we generalize the fundamental theorem of $(A, H)$-Hopf modules to Poisson 3-Lie $(A, H)$-Hopf modules and deduce relative projectivity in the category of Poisson 3-Lie $(A, H)$-Hopf modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20670 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fundamental theorem of Poisson 3-Lie $(A,H)$-Hopf modules Lu, Daowei Wang, Dingguo Rings and Algebras Let $H$ be a Hopf algebra with a bijective antipode and $A$ an $H$-comodule Poisson 3-Lie algebra. Assume that there exists an $H$-colinear map which is also an algebra map from $H$ to the Poisson center of $A$. In this paper we generalize the fundamental theorem of $(A, H)$-Hopf modules to Poisson 3-Lie $(A, H)$-Hopf modules and deduce relative projectivity in the category of Poisson 3-Lie $(A, H)$-Hopf modules. |
| title | Fundamental theorem of Poisson 3-Lie $(A,H)$-Hopf modules |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2509.20670 |