Automorphism groups of finite dimensional simple algebras

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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.
25 pages published version

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Rings and Algebras, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/70676

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404009
 http://arxiv.org/abs/math/0404009
 Ann. of Math. (2), Vol. 158 (2003), no. 3, 1041--1065

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