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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 morphismℙ   (    V    N    )   →  ℙ   (    V    G    )between their projectivized cohomological support varieties and the ranks of the tubes in their Auslander–Reiten quivers.

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