7 citations · 7 across the 5 of their papers we have counts for
8 papers
Irreducible representations of pointed Hopf algebras of type
Agustín García Iglesias, Alfio Antonio Rodriguez
We classify the irreducible representations of a family of finite-dimensional pointed liftings of the Nichols algebra associated with the diagram with parameter .…
On the representations of a family of pointed Hopf algebras
Agustin Garcia Iglesias, Alfio Antonio Rodriguez
For each and , we study the representations of a family of pointed Hopf algebras . These arise as Hopf cocycle deformations of the grad…
Finite GK-dimensional Nichols algebras of diagonal type and finite root systems
Iván Angiono, Agustín García Iglesias
Let be a finite-dimensional braided vector space of diagonal type. We show that the Gelfand Kirillov dimension of the Nichols algebra is finite if and onl…
Examples of liftings of modular and unidentified type: ufo(7,8) and br(2,a)
Agustín García Iglesias, Edwin Pacheco Rodríguez
We compute all liftings of braidings of unidentified types ufo(7) and ufo(8). Some of these examples had been previously computed by Helbig. We also present a list of examples of l…
Hopf-Galois structures on ambiskew polynomial rings
Julien Bichon, Agustín García Iglesias
We provide necessary and sufficient conditions to extend the Hopf-Galois algebra structure on an algebra R to a generalized ambiskew ring based on R, in a way such that the added v…
Pointed Hopf algebras: a guided tour to the liftings
Iván Angiono, Agustín García Iglesias
This article serves a two-fold purpose. On the one hand, it is a survey about the classification of finite-dimensional pointed Hopf algebras with abelian coradical, whose final ste…