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math.QA2020
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…
math.QA2018
On Hopf algebras with triangular decomposition
Cristian Vay
In this survey, we first review some known results on the representation theory of algebras with triangular decomposition, including the classification of the simple modules. We th…
math.QA2017★ 7 cited
Copointed Hopf algebras over
Agustín García Iglesias, Cristian Vay
We study the realizations of certain braided vector spaces of rack type as Yetter-Drinfeld modules over a cosemisimple Hopf algebra . We apply the strategy developed in arXiv:12…