Work

Partial representations of connected and smash product Hopf algebras

Year: 2025

Type: article

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 [Formula: see text] is cocommutative and has finitely many grouplikes, this allows to see [Formula: see text] as the weak Hopf algebra coming from a Hopf category.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498826502816

Authors: Arthur Rezende Alves Neto, Tiago Luiz Ferrazza, William Hautekiet

Institutions: Universidade Tecnológica Federal do Paraná, Universidade Estadual do Paraná, Université Libre de Bruxelles

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4411497948

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