CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Hopf algebra extensions of group algebras and Tambara-Yamagami categories
Autor/es:
SONIA NATALE
Revista:
Algebras and Representation Theory
Editorial:
SPRINGER
Referencias:
Año: 2009
ISSN:
1386-923X
Resumen:
We determine the structure of Hopf algebras that admit an extension of agroup algebra by the cyclic group of order 2.We study the corepresentation theory ofsuch Hopf algebras, which provide a generalization, at the Hopf algebra level, of theso called Tambara-Yamagami fusion categories. As a byproduct, we show that everysemisimple Hopf algebra of dimension < 36 is necessarily group-theoretical; thus 36is the smallest possible dimension where a non group-theoretical example occurs.
