约化群方案何时是线性的?

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal Pub Date : 2021-03-12 DOI:10.1307/mmj/20217208

P. Gille

引用次数: 8

摘要

我们证明了基方案S上的约化群方案当且仅当它的根环面是等平凡的，即它在一个有限的{\'e}层盖之后分裂，它承认一个忠实的线性表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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When Is a Reductive Group Scheme Linear?

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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来源期刊

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.