2 citations · 3 across the 6 of their papers we have counts for
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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…
Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type
Iván Angiono, Emiliano Campagnolo, Guillermo Sanmarco
We show that every finite GK-dimensional pre-Nichols algebra for braidings of diagonal type with connected diagram of modular, supermodular or unidentified type is a quotient of th…
On finite GK-dimensional Nichols algebras of diagonal type: rank 3 and Cartan type
Iván Angiono, Agustín García Iglesias
This paper contributes to the proof of the conjecture posed in arXiv:1606.02521, stating that a Nichols algebra of diagonal type with finite Gelfand-Kirillov dimension has finite (…
Finite GK-Dimensional pre-Nichols algebras of super and standard type
Iván Angiono, Emiliano Campagnolo, Guillermo Sanmarco
We prove that finite GK-dimensional pre-Nichols algebras of super and standard type are quotients of the corresponding distinguished pre-Nichols algebras, except when the braiding…
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…
Examples of finite-dimensional pointed Hopf algebras in positive characteristic
Nicolás Andruskiewitsch, Iván Angiono, István Heckenberger
We present new examples of finite-dimensional Nichols algebras over fields of positive characteristic. The corresponding braided vector spaces are not of diagonal type, admit a rea…