# 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} }

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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