Good filtrations and strong F -regularity of the ring of UP -invariants

نویسنده

  • Mitsuyasu Hashimoto
چکیده

Let k be an algebraically closed field of positive characteristic, G a reductive group over k, and V a finite dimensional G-module. Let P be a parabolic subgroup of G, and UP its unipotent radical. We prove that if S = SymV has a good filtration, then SUP is strongly F -regular.

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تاریخ انتشار 2010