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Complete reducibility and Steinberg endomorphisms

2010/12/27 by Herpel, Sebastian, Roehrle, Gerhard
#20G15 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1012.5628

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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