Filtered Hamiltonian quantizations of nilpotent coadjoint GL_N-orbit closures are classified for every positive characteristic p.
Premet, Irreducible representations of Lie algebras of reductive groups and the Kac-Weisfeiler conjecture , Invent.\ Math.\ 121 \ (1995), 79--117
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Quantization of nilpotent coadjoint $GL_N$-orbit closures in positive characteristics
Filtered Hamiltonian quantizations of nilpotent coadjoint GL_N-orbit closures are classified for every positive characteristic p.