Hopf bracoids
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866912309876621312 |
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| author | Vilaboa, José Manuel Fernández Rodríguez, Ramón González Pérez, Brais Ramos |
| author_facet | Vilaboa, José Manuel Fernández Rodríguez, Ramón González Pérez, Brais Ramos |
| contents | The present article is devoted to introduce the notion of Hopf bracoid in the braided monoidal framework as the quantum version of skew bracoids, which have been presented by Martin-Lyons and Paul J. Truman. Taking into account that Hopf braces are particular examples of Hopf bracoids, in this paper we generalize many properties of Hopf braces to the Hopf bracoid setting and we obtain a categorical isomorphism between certain full subcategories of the Hopf bracoids category and the 1-cocycles category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02925 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hopf bracoids Vilaboa, José Manuel Fernández Rodríguez, Ramón González Pérez, Brais Ramos Rings and Algebras 18M05, 16T05 The present article is devoted to introduce the notion of Hopf bracoid in the braided monoidal framework as the quantum version of skew bracoids, which have been presented by Martin-Lyons and Paul J. Truman. Taking into account that Hopf braces are particular examples of Hopf bracoids, in this paper we generalize many properties of Hopf braces to the Hopf bracoid setting and we obtain a categorical isomorphism between certain full subcategories of the Hopf bracoids category and the 1-cocycles category. |
| title | Hopf bracoids |
| topic | Rings and Algebras 18M05, 16T05 |
| url | https://arxiv.org/abs/2401.02925 |