Group Actions on Central Simple Algebras
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Daniel S. Sage
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Article
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2002
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Elsevier Science
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English
β 197 KB
Let G be a group, F a field, and A a finite-dimensional central simple algebra over F on which G acts by F-algebra automorphisms. We study the subalgebras and ideals of A which are preserved by the group action. We prove a structure theorem and two classification theorems for invariant subalgebras u