Automorphism groups of finite dimensional simple algebras

Automorphism groups of finite dimensional simple algebras

Ann. of Math. (2), Vol. 158 (2003), no. 3, 1041--1065 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 finit...

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Hauptverfasser: Gordeev, Nikolai L, Popov, Vladimir L
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Geometry
Mathematics - Rings and Algebras
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Zusammenfassung:Ann. of Math. (2), Vol. 158 (2003), no. 3, 1041--1065 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.
DOI:10.48550/arxiv.math/0404009