IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
The intrinsic fundamental group of a linear category
Autor/es:
CLAUDE CIBILS; MARIA JULIA REDONDO; ANDREA SOLOTAR
Revista:
Algebras and Representation Theory
Editorial:
SPRINGER
Referencias:
Lugar: Bonn; 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 fibrefunctor on Galois coverings. If the universal covering exists, we provethat this group is isomorphic to the Galois group of the universal covering.The grading deduced from a Galois covering enables us todescribe the canonical monomorphism from its automorphism groupto the first Hochschild-Mitchell cohomology vector space.
