INMABB 05456
INSTITUTO DE MATEMATICA BAHIA BLANCA
Unidad Ejecutora - UE
artículos
Título:
The intrinsic fundamental group of a linear category.
Autor/es:
CIBILS, CLAUDE; REDONDO, MARIA JULIA; SOLOTAR, ANDREA
Revista:
Algebras and Representation Theory
Editorial:
SPRINGER
Referencias:
Año: 2012 vol. 15 p. 735 - 753
ISSN:
1386-923X
Resumen:
We provide an intrinsic definition of the fundamental group of a linear category over a ring as the automorphism group of the fibre functor on Galois coverings. If the universal covering exists, we prove that this group is isomorphic to the Galois group of the universal covering. The grading deduced from a Galois covering enables us to describe the canonical monomorphism from its automorphism group to the first Hochschild-Mitchell cohomology vector space.
