4 papers · 1 filter
The binary product in the 2-category of triangular bialgebras and twisted morphisms
Alessandro Ardizzoni, Andrea Sciandra
It is well-known that the tensor product of two bialgebras constitutes the binary product in the category of cocommutative bialgebras and morphisms of bialgebras between them. In t…
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…
Yetter-Drinfeld post-Hopf algebras and Yetter-Drinfeld relative Rota-Baxter operators
Andrea Sciandra
Recently, Li, Sheng and Tang introduced post-Hopf algebras and relative Rota-Baxter operators (on cocommutative Hopf algebras), providing an adjunction between the respective categ…
Matched pairs and Yetter-Drinfeld braces
Davide Ferri, Andrea Sciandra
It is proven that a matched pair of actions on a Hopf algebra is equivalent to the datum of a Yetter-Drinfeld brace, which is a novel structure generalising Hopf braces. This i…