45 citations · 114 across the 14 of their papers we have counts for
7 papers · 1 filter
-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…
The cohomology ring of the 12-dimensional Fomin-Kirillov algebra
Dragos Stefan, Cristian Vay
The -dimensional Fomin-Kirillov algebra is defined as the quadratic algebra with generators , and which satisfy the relations and $ab+bc+ca=0=…
Weak Projections onto a Braided Hopf Algebra
A. Ardizzoni, C. Menini, D. Stefan
We show that, under some mild conditions, a bialgebra in an abelian and coabelian braided monoidal category has a weak projection onto a formally smooth (as a coalgebra) sub-bialge…
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,…
Cotensor Coalgebras in Monoidal Categories
A. Ardizzoni, C. Menini, D. Stefan
We introduce the concept of cotensor coalgebra for a given bicomodule over a coalgebra in an abelian monoidal category. Under some further conditions we show that such a cotensor c…
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…