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math.QA2022
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…
math.QA2022
Pointed Hopf algebras over non-abelian groups with non-simple standard braidings
Iván Angiono, Simon Lentner, Guillermo Sanmarco
We construct finite-dimensional Hopf algebras whose coradical is the group algebra of a central extension of an abelian group. They fall into families associated to a semisimple Li…
math.QA2022
Corrigendum: Liftings of the Jordan plane
Nicolás Andruskiewitsch, Iván Angiono, István Heckenberger
We complete the classification of the pointed Hopf algebras with finite Gelfand-Kirillov dimension that are liftings of the Jordan plane over a nilpotent-by-finite group, correctin…