Post-Hopf group algebras, Hopf group braces and Rota-Baxter operators on Hopf group algebras
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909715176357888 |
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| author | Ning, Yan Wang, Xing Lu, Daowei |
| author_facet | Ning, Yan Wang, Xing Lu, Daowei |
| contents | In this paper, we introduce the notions of Hopf group braces, post-Hopf group algebras and Rota-Baxter Hopf group algebras as important generalizations of Hopf brace, post Hopf algebra and Rota-Baxter Hopf algebras respectively. We also discuss their relationships. Explicitly under the condition of cocomutativity, Hopf group braces, post-Hopf group algebras could be mutually obtained, and Rota-Baxter Hopf group algebras could lead to Hopf group braces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20176 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Post-Hopf group algebras, Hopf group braces and Rota-Baxter operators on Hopf group algebras Ning, Yan Wang, Xing Lu, Daowei Rings and Algebras Mathematical Physics In this paper, we introduce the notions of Hopf group braces, post-Hopf group algebras and Rota-Baxter Hopf group algebras as important generalizations of Hopf brace, post Hopf algebra and Rota-Baxter Hopf algebras respectively. We also discuss their relationships. Explicitly under the condition of cocomutativity, Hopf group braces, post-Hopf group algebras could be mutually obtained, and Rota-Baxter Hopf group algebras could lead to Hopf group braces. |
| title | Post-Hopf group algebras, Hopf group braces and Rota-Baxter operators on Hopf group algebras |
| topic | Rings and Algebras Mathematical Physics |
| url | https://arxiv.org/abs/2507.20176 |