Artículos de revistas
The fundamental group of a Hopf linear category
Fecha
2016-09Registro en:
Solotar, Andrea Leonor; Cibils, Claude; The fundamental group of a Hopf linear category; Elsevier Inc; Journal Of Algebra; 462; 9-2016; 137-162
0021-8693
CONICET Digital
CONICET
Autor
Solotar, Andrea Leonor
Cibils, Claude
Resumen
We define the fundamental group of a Hopf algebra over a field. For this purpose we first consider gradings of Hopf algebras and Galois coverings. The latter are given by linear categories with new additional structure which we call Hopf linear categories over a finite group. We compare this invariant to the fundamental group of the underlying linear category, and we compute those groups for families of examples.