22 citations · 54 across the 12 of their papers we have counts for
15 papers
Protomodularity of cocommutative Hopf monoids in duoidal categories and quasitriangular Hopf algebras
Alessandro Ardizzoni, Lucrezia Bottegoni, Alan Cigoli +1
In this work, we extend the protomodularity of the category of cocommutative Hopf algebras to the quasitriangular setting. Every quasitriangular Hopf algebra admits a minimal quasi…
The third cohomology 2-group
Alan S. Cigoli, Sandra Mantovani, Giuseppe Metere
In this paper we show that a finite product preserving opfibration can be factorized through an opfibration with the same property, but with groupoidal fibres. If moreover the codo…
On the representability of actions of Leibniz algebras and Poisson algebras
Alan S. Cigoli, Manuel Mancini, Giuseppe Metere
In a recent paper, motivated by the study of central extensions of associative algebras, G. Janelidze introduces the notion of weakly action representable category. In this paper,…
On pseudofunctors sending groups to 2-groups
Alan S. Cigoli, Sandra Mantovani, Giuseppe Metere
For a category B with finite products, we first characterize pseudofunctors from B to Cat whose corresponding opfibration is cartesian monoidal. Among those, we then characterize t…
Fibred categorical theory of obstruction and classification of morphisms
Alan S. Cigoli, Sandra Mantovani, Giuseppe Metere +1
We set up a fibred categorical theory of obstruction and classification of morphisms that specializes to the one of monoidal functors between categorical groups and also to the Sch…
Descent cospans for the fibration of points
Alan S. Cigoli
Draft version of a paper concerning an interpretation of the conditon (UA) in terms of descent with respect to the fibrations of points.