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arXiv · 2503.01002

Multiplicative structures on comodules in higher categories

Takeshi Torii
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Abstract

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 $\mathcal{O}$.

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Takeshi Torii. 2025-03-02. Multiplicative structures on comodules in higher categories. https://arxiv.org/abs/2503.01002

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