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Partial representations of connected and smash product Hopf algebras

par Alves Neto, Arthur Rezende;Ferrazza, Tiago Luiz;Hautekiet, William
Référence Journal of Algebra and its Applications
Publication A Paraître, 2025-06

Article révisé par les pairs

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Résumé :

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 Hpar as the weak Hopf algebra coming from a Hopf category.