# 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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From the reviews of the French edition "This is a rich and useful volume. The material it treats has relevance well beyond the theory of Lie groups and algebras, ranging from the geometry of regular