The main aim of this paper is to relate almost split sequences to singularity theory by showing that the McKay quiver built from the finite-dimensional representations of a finite subgroup G G of GL ( 2 , C ) GL (2,{C}) , where C {C} is the complex numbers, is isomorphic to the A R AR quiver of the reflexive modules of the quotient singularity associated with G G .
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Maurice Auslander (1986) studied this question.