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Pré-Publication, Document De Travail Année : 2008

THE INTRINSIC FUNDAMENTAL GROUP OF A LINEAR CATEGORY

Résumé

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. We prove that this group is isomorphic to the inverse limit of the Galois groups associated to Galois coverings. Moreover, the grading deduced from a Galois covering enables us to describe the canonical monomorphism from its automorphism group to the first Hochschild-Mitchell
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Dates et versions

hal-00155286 , version 1 (17-06-2007)
hal-00155286 , version 2 (15-09-2008)
hal-00155286 , version 3 (12-12-2008)
hal-00155286 , version 4 (01-12-2010)

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Claude Cibils, Maria Julia Redondo, Andrea Solotar. THE INTRINSIC FUNDAMENTAL GROUP OF A LINEAR CATEGORY. 2008. ⟨hal-00155286v2⟩
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