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arXiv · 2404.17303

Partial representations of connected and smash product Hopf algebras

Tiago Luiz Ferrazza·William Hautekiet·Arthur Alves Neto
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Abstract

We show that every partial representation of a connected Hopf algebra is global. Some interesting classes of partial representations of smash product Hopf algebras are studied, and a description of the partial "Hopf" algebra if the first tensorand is connected is given. If $H$ is cocommutative and has finitely many grouplikes, this allows to see $H_{par}$ as the weak Hopf algebra coming from a Hopf category.

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Tiago Luiz Ferrazza, William Hautekiet, Arthur Alves Neto. 2024-04-26. Partial representations of connected and smash product Hopf algebras. https://arxiv.org/abs/2404.17303

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