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Support theory for Drinfeld doubles of some infinitesimal group schemes

Support theory for Drinfeld doubles of some infinitesimal group schemes

Consider a Frobenius kernel G in a split semisimple algebraic group, in very good characteristic.We provide an analysis of support for the Drinfeld center Z(rep(G)) of the representation category for G, or equivalently for the representation category of the Drinfeld double of kG.We show that thick ideals in the corresponding …