CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
On the Hopf Algebra Structure of the Lusztig Quantum Divided Power Algebras
Autor/es:
ANGIONO, IVÁN; VAY, CRISTIAN; ANDRUSKIEWITSCH, NICOLÁS
Revista:
Annales Mathématiques Blaise Pascal
Editorial:
Laboratoire de Mathématiques Blaise Pascal
Referencias:
Año: 2020 p. 131 - 157
ISSN:
1259-1734
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 Sommerhauser to describe triangular decompositions.
