AR-Components of domestic finite group schemes: McKay-Quivers and Ramification

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For a domestic finite group scheme, we give a direct description of the Euclidean components in its Auslander-Reiten quiver via the McKay-quiver of a finite linearly reductive subgroup scheme of SL(2). Moreover, for a normal subgroup scheme N of a finite group scheme G, we show that there is a connection between the ramification indices of the restriction morphism P(Vₙ)(VG) between their projectivized cohomological support varieties and the ranks of the tubes in their Auslander-Reiten quivers.