Complete reducibility and Steinberg endomorphisms

Details Complete reducibility and Steinberg endomorphisms Complete reducibility and Steinberg endomorphisms

2010-12-27

arxiv.org/abs/1012.5628v1

Mathematics

Group Theory

Scientific paper

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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