Automorphism groups of finite dimensional simple algebras
成果类型：
Article
署名作者：
Gordeev, NL; Popov, VL
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.4007/annals.2003.158.1041
发表日期：
2003
页码：
1041-1065
关键词：
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.