Automorphism groups of finite dimensional simple algebras

2004/04/01 by Nikolai L. Gordeev, Vladimir L. Popov
Mathematics · #math.RA #math.AG

paper · pdf

published as Ann. of Math. (2), Vol. 158 (2003), no. 3, 1041--1065 · 25 pages published version

arxiv created 2004/04/01 · arxiv updated 2009/12/01

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⊗_kK), where A is a finite dimensional simple algebra over k.

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