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August 2022 When Is a Reductive Group Scheme Linear?
Philippe Gille
Michigan Math. J. 72: 439-448 (August 2022). DOI: 10.1307/mmj/20217208

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

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Philippe Gille. "When Is a Reductive Group Scheme Linear?." Michigan Math. J. 72 439 - 448, August 2022. https://doi.org/10.1307/mmj/20217208

Information

Received: 12 March 2021; Revised: 22 April 2021; Published: August 2022
First available in Project Euclid: 2 August 2022

Digital Object Identifier: 10.1307/mmj/20217208

Subjects:
Primary: 14L15 , 20G35

Rights: Copyright © 2022 The University of Michigan

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Vol.72 • August 2022
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