Geodesic
Automorphism groups of finite dimensional simple algebras
Nikolai L. Gordeev1 ; Vladimir L. Popov2
1 Department of Mathematics, Russian State Pedagogical University, St. Petersburg, Russia
2 Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Annals of mathematics, Tome 158 (2003) no. 3, pp. 1041-1065.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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 $\mathop{\rm Aut}(A\otimes_k\!K)$, where $A$ is a finite dimensional simple algebra over $k$.
DOI : 10.4007/annals.2003.158.1041

Nikolai L. Gordeev 1 ; Vladimir L. Popov 2

1 Department of Mathematics, Russian State Pedagogical University, St. Petersburg, Russia
2 Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia 
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Nikolai L. Gordeev; Vladimir L. Popov. Automorphism groups of finite dimensional simple algebras. Annals of mathematics, Tome 158 (2003) no. 3, pp. 1041-1065. doi : 10.4007/annals.2003.158.1041. http://geodesic.mathdoc.fr/articles/10.4007/annals.2003.158.1041/

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