Automorphism groups of finite dimensional simple algebras
Rings and Algebras
2007-05-23 v1 Algebraic Geometry
Abstract
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\otimes_kK), where A is a finite dimensional simple algebra over k.
Cite
@article{arxiv.math/0404009,
title = {Automorphism groups of finite dimensional simple algebras},
author = {Nikolai L. Gordeev and Vladimir L. Popov},
journal= {arXiv preprint arXiv:math/0404009},
year = {2007}
}
Comments
25 pages published version