From the 1 of 4 linked papers with an AI index.
4 papers
Protomodularity of cocommutative Hopf monoids in duoidal categories and quasitriangular Hopf algebras
Alessandro Ardizzoni, Lucrezia Bottegoni, Alan Cigoli +1
The paper generalizes the protomodular structure of cocommutative Hopf algebras to quasitriangular Hopf algebras by treating them as cocommutative bimonoids in tensor‑braided duoid…
Semiseparability of induction functors in a monoidal category
Lucrezia Bottegoni, Zhenbang Zuo
For any algebra morphism in a monoidal category, we provide sufficient conditions (which are also necessary if the unit is a left tensor generator) for the attached induction funct…
Infinitesimal -matrices for some families of Hopf algebras
Lucrezia Bottegoni, Fabio Renda, Andrea Sciandra
Given a bialgebra such that the associated trivial topological bialgebra admits a quasitriangular structure $\tilde{\mathcal{R}}=\mathcal{R}(1\otimes 1+\hbarÏ+\ma…
Infinitesimal braidings and pre-Cartier bialgebras
A. Ardizzoni, L. Bottegoni, A. Sciandra +1
We propose an infinitesimal counterpart to the notion of braided category. The corresponding infinitesimal braidings are natural transformations which are compatible with an underl…