English

Complete reducibility and Steinberg endomorphisms

Group Theory 2010-12-30 v1

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.

Keywords

Cite

@article{arxiv.1012.5628,
  title  = {Complete reducibility and Steinberg endomorphisms},
  author = {Sebastian Herpel and Gerhard Roehrle},
  journal= {arXiv preprint arXiv:1012.5628},
  year   = {2010}
}
R2 v1 2026-06-21T17:04:31.943Z