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arxiv 2103.07305 v3 pith:JG2TGPBO submitted 2021-03-12 math.AG math.RA

When is a reductive group scheme linear?

Philippe Gille (ICJ) This is my paper
classification math.AG math.RA
keywords schemegrouplinearreductiveadmitsbasecoverfaithful
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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.

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    math.AG 2026-06 unverdicted novelty 6.0

    Proves Springer's theorem and two norm principles for quadratic forms over LG rings and semilocal rings, with applications to spin group cohomology.