Covering techniques in Auslander-Reiten theory

Published 30 Nov 2014 in math.RT | (1412.0188v3)

Abstract: Given a finite dimensional algebra over a perfect field the text introduces covering functors over the mesh category of any modulated Auslander-Reiten component of the algebra. This is applied to study the composition of irreducible morphisms between indecomposable modules in relation with the powers of the radical of the module category.

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