3 papers
math.CT2023
Admissibility of Localizations of Crossed Modules
Olivia Monjon, Jérôme Scherer, Florence Sterck
The correspondence between the concept of conditional flatness and admissibility in the sense of Galois appears in the context of localization functors in any semi-abelian category…
math.CT2021
Crossed squares of cocommutative Hopf algebras
Florence Sterck
In this paper, we define the notion of Hopf crossed square for cocommutative Hopf algebras extending the notions of crossed squares of groups and of Lie algebras. We prove the equi…
math.CT2018
A semi-abelian extension of a theorem by Takeuchi
Marino Gran, Florence Sterck, Joost Vercruysse
We prove that the category of cocommutative Hopf algebras over a field is a semi-abelian category. This result extends a previous special case of it, based on the Milnor-Moore theo…