info:eu-repo/semantics/article
On the Hopf algebra structure of the lusztig quantum divided power algebras
Sur la structure d’algèbre de Hopf des algèbres de puissances divisées quantiques de lusztig
Fecha
2020-03-09Registro en:
Andruskiewitsch, Nicolás; Angiono, Iván Ezequiel; Vay, Cristian Damian; On the Hopf algebra structure of the lusztig quantum divided power algebras; Universite Clermont Auvergne; Annales Mathematiques Blaise Pascal; 27; 2; 9-3-2020; 131-157
1259-1734
2118-7436
CONICET Digital
CONICET
Autor
Andruskiewitsch, Nicolás
Angiono, Iván Ezequiel
Vay, Cristian Damian
Resumen
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 enveloping algebra of an abelian Lie algebra. Second we build them from the plus, minus and zero parts by means of suitable actions and coactions within the formalism presented by Sommerhäuser to describe triangular decompositions.