CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
On Nichols algebras over basic Hopf algebras
Autor/es:
NICOLÁS ANDRUSKIEWITSCH; IVÁN ANGIONO
Revista:
MATHEMATISCHE ZEITSCHRIFT
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2020 vol. 296 p. 1429 - 1469
ISSN:
0025-5874
Resumen:
This is a contribution to the classification of finite-dimensional Hopf algebras over an algebraically closed field k of characteristic 0. Concretely, we show that a finite-dimensional Hopf algebra whose Hopf coradical is basic is a lifting of a Nichols algebra of a semisimple Yetter?Drinfeld module and we explain how to classify Nichols algebras of this kind. We provide along the way new examples of Nichols algebras and Hopf algebras with finite Gelfand?Kirillov dimension.
