AR-COMPONENTS OF DOMESTIC FINITE GROUP SCHEMES: MCKAY-QUIVERS AND RAMIFICATION

作者：Kirchhoff Dirk^*

来源：The Quarterly Journal of Mathematics, 2018, 69(2): 443-458.

DOI：10.1093/qmath/hax043

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

• 出版日期2018-6