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- W2022570623 abstract "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 under suitable hypotheses on A. We illustrate these results in the case of compact connected Lie groups and give some other applications. We also classify invariant ideals." @default.
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- W2022570623 date "2002-04-01" @default.
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- W2022570623 title "Group Actions on Central Simple Algebras" @default.
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- W2022570623 doi "https://doi.org/10.1006/jabr.2001.9098" @default.
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