Multiplicative structures on comodules in higher categories
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866909520838524928 |
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| author | Torii, Takeshi |
| author_facet | Torii, Takeshi |
| contents | In this paper we study multiplicative structures on comodules over bialgebras in the setting of $\infty$-categories. We show that the $\infty$-category of comodules over an $(\mathcal{O},\mathbf{Ass})$-bialgebra in a mixed $(\mathcal{O},\mathbf{Ass})$-duoidal $\infty$-category has the structure of an $\mathcal{O}$-monoidal $\infty$-category for any $\infty$-operad $\mathcal{O}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01002 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multiplicative structures on comodules in higher categories Torii, Takeshi Category Theory Algebraic Topology Primary 18N60, Secondary 18N70, 18M50, 55U40 In this paper we study multiplicative structures on comodules over bialgebras in the setting of $\infty$-categories. We show that the $\infty$-category of comodules over an $(\mathcal{O},\mathbf{Ass})$-bialgebra in a mixed $(\mathcal{O},\mathbf{Ass})$-duoidal $\infty$-category has the structure of an $\mathcal{O}$-monoidal $\infty$-category for any $\infty$-operad $\mathcal{O}$. |
| title | Multiplicative structures on comodules in higher categories |
| topic | Category Theory Algebraic Topology Primary 18N60, Secondary 18N70, 18M50, 55U40 |
| url | https://arxiv.org/abs/2503.01002 |