Weak Hopf algebras arising from weak matched pairs
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913463270375424 |
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| author | Fonseca, Graziela Martini, Grasiela Silva, Leonardo |
| author_facet | Fonseca, Graziela Martini, Grasiela Silva, Leonardo |
| contents | This work extends the idea of matched pairs presented by Majid in \cite{Majid} and Takeuchi in \cite{Takeuchi} for the context of weak bialgebras and weak Hopf algebras. We introduce, also inspired by partial matched pairs \cite{matchedpair}, the notion of weak matched pairs and establish conditions for a subspace of the smash product be a weak bialgebra/Hopf algebra. Further, some new examples of (co)actions of weak bialgebras over algebras and some results about integral elements are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05181 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak Hopf algebras arising from weak matched pairs Fonseca, Graziela Martini, Grasiela Silva, Leonardo Rings and Algebras Representation Theory 16T99, 16S40 This work extends the idea of matched pairs presented by Majid in \cite{Majid} and Takeuchi in \cite{Takeuchi} for the context of weak bialgebras and weak Hopf algebras. We introduce, also inspired by partial matched pairs \cite{matchedpair}, the notion of weak matched pairs and establish conditions for a subspace of the smash product be a weak bialgebra/Hopf algebra. Further, some new examples of (co)actions of weak bialgebras over algebras and some results about integral elements are presented. |
| title | Weak Hopf algebras arising from weak matched pairs |
| topic | Rings and Algebras Representation Theory 16T99, 16S40 |
| url | https://arxiv.org/abs/2408.05181 |