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arXiv · 1012.5628

Complete reducibility and Steinberg endomorphisms

Sebastian Herpel·Gerhard Roehrle
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Abstract

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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Sebastian Herpel, Gerhard Roehrle. 2010-12-27. Complete reducibility and Steinberg endomorphisms. https://arxiv.org/abs/1012.5628

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