2 citations · 2 across the 3 of their papers we have counts for
5 papers
Gauge deformations for Hopf algebras with the dual Chevalley property
Alessandro Ardizzoni, Margaret Beattie, Claudia Menini
Let be a Hopf algebra over a field of characteristic zero such that its coradical is a finite dimensional sub-Hopf algebra. Our main theorem shows that there is a gauge…
Cocycle deformations for liftings of quantum linear spaces
Alessandro Ardizzoni, Margaret Beattie, Claudia Menini
Let be a Hopf algebra over a field of characteristic 0 and suppose there is a coalgebra projection from to a sub-Hopf algebra that splits the inclusion. If the…
A Milnor-Moore Type Theorem for Braided Bialgebras
A. Ardizzoni, C. Menini, D. Stefan
The paper is devoted to prove a version of Milnor-Moore Theorem for connected braided bialgebras that are infinitesimally cocommutative. Namely in characteristic different from 2,…
Naturally full functors in nature
A. Ardizzoni, S. Caenepeel, C. Menini +1
We introduce and discuss the notion of naturally full functor. The definition is similar to the definition of separable functor: a naturally full functor is a functorial version of…
Hochschild Cohomology of Algebras in Monoidal Categories and Splitting Morphisms of Bialgebras
A. Ardizzoni, C. Menini, D. Stefan
The main goal of this paper is to investigate the structure of Hopf algebras with the property that either its Jacobson radical is a Hopf ideal or its coradical is a subalgebra. In…