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Mathematics > Quantum Algebra
Title: Partial representations of connected and smash product Hopf algebras
(Submitted on 26 Apr 2024)
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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