Hopf q-braces structures on rank one pointed Hopf algebras
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914904291672064 |
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| author | Guccione, Jorge A. Guccione, Juan J. Valqui, Christian |
| author_facet | Guccione, Jorge A. Guccione, Juan J. Valqui, Christian |
| contents | In this paper we determine all the Hopf q-brace structures on rank one pointed Hopf algebras and compute the socle of each one of them. We also identify which among them are Hopf skew-braces. Then we determine when two Hopf q-brace structures on rank one pointed Hopf algebras are isomorphic, and, finally, we compute all the weak braiding operators on these Hopf algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03863 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hopf q-braces structures on rank one pointed Hopf algebras Guccione, Jorge A. Guccione, Juan J. Valqui, Christian Quantum Algebra 16T25 (Primary) 16t05 (Secondary) In this paper we determine all the Hopf q-brace structures on rank one pointed Hopf algebras and compute the socle of each one of them. We also identify which among them are Hopf skew-braces. Then we determine when two Hopf q-brace structures on rank one pointed Hopf algebras are isomorphic, and, finally, we compute all the weak braiding operators on these Hopf algebras. |
| title | Hopf q-braces structures on rank one pointed Hopf algebras |
| topic | Quantum Algebra 16T25 (Primary) 16t05 (Secondary) |
| url | https://arxiv.org/abs/2408.03863 |