27 citations · 120 across the 20 of their papers we have counts for
20 papers
Twisted deformations vs. cocycle deformations for quantum groups
Gastón Andrés García, Fabio Gavarini
In this paper we study two deformation procedures for quantum groups: deformations by twists, that we call "comultiplication twisting", as they modify the coalgebra structure, whil…
Quantum function algebras from finite-dimensional Nichols algebras
Marco A. Farinati, Gaston Andres Garcia
We describe how to find quantum determinants and antipode formulas from braided vector spaces using the FRT-construction and finite-dimensional Nichols algebras. It generalizes the…
Nonsemisimple Hopf algebras of dimension 8p with the Chevalley property
Margaret Beattie, Gaston Andres Garcia, Siu-Hung Ng +1
Let p be an odd prime and k an algebraically closed field of characteristic zero. We classify nonsemisimple Hopf algebras over k of dimension 8p with the Chevalley property, and gi…
Multiparameter quantum groups at roots of unity
Gastón Andrés García, Fabio Gavarini
We address the study of multiparameter quamtum groups (=MpQG's) at roots of unity, namely quantum universal enveloping algebras depending o…
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type IV. Unipotent classes in Chevalley and Steinberg groups
Nicolás Andruskiewitsch, Giovanna Carnovale, Gastón Andrés García
We show that all unipotent classes in finite simple Chevalley or Steinberg groups, different from PSL_n(q) and PSp_{2n}(q), collapse (i.e. are never the support of a finite-dimensi…
On finite-dimensional copointed Hopf algebras over dihedral groups
Fernando Fantino, Gaston Andres Garcia, Mitja Mastnak
We classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero such that its coradical is isomorphic to the algebra of functions over a…