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Article Dans Une Revue Journal of Noncommutative Geometry Année : 2014

On universal gradings, versal gradings and Schurian generated categories

Résumé

Categories over a field $k$ can be graded by different groups in a connected way; we consider morphisms between these gradings in order to define the fundamental grading group. We prove that this group is isomorphic to the fundamental group á la Grothendieck as considered in previous papers. In case the $k$-category is Schurian generated we prove that a universal grading exists. Examples of non Schurian generated categories with universal grading, versal grading or none of them are considered.

Dates et versions

hal-00796234 , version 1 (02-03-2013)

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Claude Cibils, Maria Julia Redondo, Andrea Solotar. On universal gradings, versal gradings and Schurian generated categories. Journal of Noncommutative Geometry, 2014, 8 (4), pp.1101-1122. ⟨10.4171/JNCG/180⟩. ⟨hal-00796234⟩
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