Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2305.15485 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916161968406528 |
|---|---|
| author | Sozer, Kursat Virelizier, Alexis |
| author_facet | Sozer, Kursat Virelizier, Alexis |
| contents | Given a crossed module $χ$, we introduce Hopf $χ$-(co)algebras which generalize Hopf algebras and Hopf group-(co)algebras. We interpret them as Hopf algebras in some symmetric monoidal category. We prove that their categories of representations are monoidal and $χ$-graded (meaning that both objects and morphisms have degrees which are related via $χ$). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_15485 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hopf crossed module (co)algebras Sozer, Kursat Virelizier, Alexis Quantum Algebra 16T05, 18M05, 18A50, 18G45 Given a crossed module $χ$, we introduce Hopf $χ$-(co)algebras which generalize Hopf algebras and Hopf group-(co)algebras. We interpret them as Hopf algebras in some symmetric monoidal category. We prove that their categories of representations are monoidal and $χ$-graded (meaning that both objects and morphisms have degrees which are related via $χ$). |
| title | Hopf crossed module (co)algebras |
| topic | Quantum Algebra 16T05, 18M05, 18A50, 18G45 |
| url | https://arxiv.org/abs/2305.15485 |