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Article Dans Une Revue Documenta Mathematica Année : 2011

Fundamental group of Schurian categories and the Hurewicz isomorphism

Résumé

Let k be a field. We attach a CW-complex to any Schurian k-category and we prove that the fundamental group of this CW-complex is isomorphic to the intrinsic fundamental group of the k-category. This extends previous results by J.C. Bustamante. We also prove that the Hurewicz morphism from the vector space of abelian characters of the fundamental group to the first Hochschild-Mitchell cohomology vector space of the category is an isomorphism.

Dates et versions

hal-00796233 , version 1 (02-03-2013)

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Claude Cibils, Maria Julia Redondo, Andrea Solotar. Fundamental group of Schurian categories and the Hurewicz isomorphism. Documenta Mathematica, 2011, 16, pp.581-595. ⟨hal-00796233⟩
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