Abstract
We show that a reductive group scheme over a base scheme S admits a faithful linear representation if and only if its radical torus is isotrivial; that is, it splits after a finite étale cover.
Dedication
To the 75th anniversary of Gopal Prasad
Citation
Philippe Gille. "When Is a Reductive Group Scheme Linear?." Michigan Math. J. 72 439 - 448, August 2022. https://doi.org/10.1307/mmj/20217208
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