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arxiv: 1012.5628 · v1 · pith:5VL27UNHnew · submitted 2010-12-27 · 🧮 math.GR

Complete reducibility and Steinberg endomorphisms

classification 🧮 math.GR
keywords endomorphismsreducibilitysteinbergalgebraicalgebraicallycasecharacteristicclosed
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Let G be a connected reductive algebraic group defined over an algebraically closed field of positive characteristic. We study a generalization of the notion of G-complete reducibility in the context of Steinberg endomorphisms of G. Our main theorem extends a special case of a rationality result in this setting.

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