SPRINGER ISOMORPHISMS IN CHARACTERISTIC p

@article{Sobaje2012SPRINGERII,
  title={SPRINGER ISOMORPHISMS IN CHARACTERISTIC p},
  author={Paul Sobaje},
  journal={Transformation Groups},
  year={2012},
  volume={20},
  pages={1141-1153}
}
  • P. Sobaje
  • Published 17 October 2012
  • Mathematics
  • Transformation Groups
Let G be a simple algebraic group over an algebraically closed field of characteristic p, and assume that p is a separably good prime for G. Let P be a parabolic subgroup whose unipotent radical UP has nilpotence class less than p. We show that there exists a particularly nice Springer isomorphism for G which restricts to a certain canonical isomorphism Lie UP→∼UP$$ \left({U}_P\right)\overset{\sim }{\to }{U}_P $$ defined by J.-P. Serre. This answers a question raised both by G. McNinch in [M2… 
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