Partial representations of connected and smash product Hopf algebras
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.
Authors
- William Hautekiet (ORCID: https://orcid.org/0009-0008-9426-1987)
- Tiago Luiz Ferrazza (ORCID: https://orcid.org/0009-0001-8427-3422)
- Arthur Rezende Alves Neto (ORCID: https://orcid.org/0000-0003-3875-3561)
Institutions
- Universidade Tecnológica Federal do Paraná (BR)
- Université Libre de Bruxelles (BE)
- Universidade Estadual do Oeste do Paraná (BR)
- Universidade Estadual do Paraná (BR)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-06-20
- DOI
- https://doi.org/10.1142/s0219498826502816
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00