48 citations · 172 across the 35 of their papers we have counts for
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Integrals for Bialgebras
Alessandro Ardizzoni, Claudia Menini, Paolo Saracco
A well-known result by Larson and Sweedler shows that integrals on a Hopf algebra can be obtained by applying the Structure Theorem for Hopf modules to the rational part of its lin…
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…
On the Hopf envelope of finite-dimensional bialgebras
Alessandro Ardizzoni, Claudia Menini, Paolo Saracco
The Hopf envelope of a bialgebra is the free Hopf algebra generated by the given bialgebra. Its existence, as well as that of the cofree Hopf algebra, is a well-known fact in Hopf…
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…
-deformations of graded rings
Alessandro Ardizzoni, Paolo Saracco, Dragoş Ştefan
We prove in a very general framework several versions of the classical Poincaré-Birkhoff-Witt Theorem, which extend results from [BeGi, BrGa, CS, HvOZ, WW]. Applications and exampl…
Cohomology and Coquasi-bialgebras in the category of Yetter-Drinfeld Modules
Ivàn Angiono, Alessandro Ardizzoni, Claudia Menini
We prove that a finite-dimensional Hopf algebra with the dual Chevalley Property over a field of characteristic zero is quasi-isomorphic to a Radford-Majid bosonization whenever th…