22 citations · 52 across the 17 of their papers we have counts for
21 papers
Lifting in a non semisimple world
Jack Arce, Cristian Vay
This is a contribution to the problem of classifying all deformations - a. k. a. liftings - of the bosonization of a Nichols algebra over a cosemisimple and non-s…
Linkage principle for small quantum groups
Cristian Vay
We consider small quantum groups with root systems of Cartan, super and modular type, among others. These are constructed as Drinfeld doubles of finite-dimensional Nichols algebras…
Koszul duality for Coxeter groups
Simon Riche, Cristian Vay
We construct a "Koszul duality" equivalence relating the (diagrammatic) Hecke category attached to a Coxeter system and a given realization to the Hecke category attached to the sa…
The Green ring of a family of copointed Hopf algebras
Cristian Vay
The copointed liftings of the Fomin-Kirillov algebra over the algebra of functions on the symmetric group were classified by Andruskiewitsch and the…
Simple modules of small quantum groups at dihedral groups
Gastón Andrés García, Cristian Vay
Based on previous results on the classification of finite-dimensional Nichols algebras over dihedral groups and the characterization of simple modules of Drinfeld doubles, we compu…
On the Hopf algebra structure of the Lusztig quantum divided power algebras
Nicolás Andruskiewitsch, Iván Angiono, Cristian Vay
We study the Hopf algebra structure of Lusztig's quantum groups. First we show that the zero part is the tensor product of the group algebra of a finite abelian group with the enve…