26 citations · 56 across the 7 of their papers we have counts for
7 papers · 1 filter
Formal multiparameter quantum groups, deformations and specializations
Gastón Andrés García, Fabio Gavarini
We introduce the notion of formal multiparameter quantum universal enveloping algebras - in short FoMpQUEA - as a straightforward generalization of Drinfeld's quantum group. Then w…
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…
Finite-dimensional Nichols algebras over dual Radford algebras
Dirceu Bagio, Gastón A. García, João M. J. Giraldi +1
For , let be the dual of the Radford algebra of dimension . We present new finite-dimensional Nichols algebras arising from the study of simple…
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type V. Mixed classes in Chevalley and Steinberg groups
Nicolás Andruskiewitsch, Giovanna Carnovale, Gastón Andrés García
We show that all classes that are neither semisimple nor unipotent in finite simple Chevalley or Steinberg groups different from collapse (i.e. are never the support of…
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type III. Semisimple classes in PSL(n,q)
Nicolás Andruskiewitsch, Giovanna Carnovale, Gastón Andrés García
We show that Nichols algebras of most simple Yetter-Drinfeld modules over the projective special linear group over a finite field, corresponding to semisimple orbits, have infinite…
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II. Unipotent classes in symplectic groups
Nicolás Andruskiewitsch, Giovanna Carnovale, Gastón Andrés García
We show that Nichols algebras of most simple Yetter-Drinfeld modules over the projective symplectic linear group over a finite field, corresponding to unipotent orbits, have infini…
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I. Non-semisimple classes in PSL(n,q)
Nicolás Andruskiewitsch, Giovanna Carnovale, Gastón Andrés García
We show that Nichols algebras of most simple Yetter-Drinfeld modules over the projective special linear group over a finite field, corresponding to non-semisimple orbits, have infi…