When is a reductive group scheme linear?
Algebraic Geometry
2021-04-23 v3 Rings and Algebras
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 {\'e}tale cover.
Cite
@article{arxiv.2103.07305,
title = {When is a reductive group scheme linear?},
author = {Philippe Gille},
journal= {arXiv preprint arXiv:2103.07305},
year = {2021}
}