Partial representations of connected and smash product Hopf algebras
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914771839746048 |
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| author | Ferrazza, Tiago Luiz Hautekiet, William Neto, Arthur Alves |
| author_facet | Ferrazza, Tiago Luiz Hautekiet, William Neto, Arthur Alves |
| contents | We show that every partial representation of a connected Hopf algebra is global. Some interesting classes of partial representations of smash product Hopf algebras are studied, and a description of the partial "Hopf" algebra if the first tensorand is connected is given. If $H$ is cocommutative and has finitely many grouplikes, this allows to see $H_{par}$ as the weak Hopf algebra coming from a Hopf category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17303 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Partial representations of connected and smash product Hopf algebras Ferrazza, Tiago Luiz Hautekiet, William Neto, Arthur Alves Quantum Algebra Rings and Algebras Representation Theory 16T05, 16S40 We show that every partial representation of a connected Hopf algebra is global. Some interesting classes of partial representations of smash product Hopf algebras are studied, and a description of the partial "Hopf" algebra if the first tensorand is connected is given. If $H$ is cocommutative and has finitely many grouplikes, this allows to see $H_{par}$ as the weak Hopf algebra coming from a Hopf category. |
| title | Partial representations of connected and smash product Hopf algebras |
| topic | Quantum Algebra Rings and Algebras Representation Theory 16T05, 16S40 |
| url | https://arxiv.org/abs/2404.17303 |