Automorphism groups of finite dimensional simple algebras

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70676We 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.25 pages published versionRings and AlgebrasAlgebraic GeometryAutomorphism groups of finite dimensional simple algebrastext