Automorphism groups of finite dimensional simple algebras

被引：11

作者：

Gordeev, NL ^{[1
]}

Popov, VL

机构：

[1] Russian State Pedag Univ, St Petersburg, Russia

[2] Russian Acad Sci, Steklov Math Inst, Moscow, Russia

来源：

ANNALS OF MATHEMATICS | 2003年 / 158卷 / 03期

关键词：

D O I：

10.4007/annals.2003.158.1041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if a field k contains sufficiently many elements (for instance, if k is infinite), and K is an algebraically closed field containing k, then every linear algebraic k-group over K is k-isomorphic to Aut(A circle times(k) K), where A is a finite dimensional simple algebra over k.

引用

页码：1041 / 1065

页数：25

共 25 条

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[2]

[Anonymous], 1998, C PUBL AM MATH SOC

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