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math.QA2020
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…
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…