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Gille, Philippe

When is a reductive group scheme linear? (English) Zbl 1497.14087

Mich. Math. J. 72, 439-448 (2022).
Summary: 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.

Cited in 3 Documents

MSC:

14L15 Group schemes
20G35 Linear algebraic groups over adèles and other rings and schemes
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