Tame group actions on central simple algebras

Mathematics – Rings and Algebras

Scientific paper

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19 pages, LaTeX; slightly revised; final version will appear in Journal of Algebra

Scientific paper

10.1016/j.jalgebra.2007.07.027

We study actions of linear algebraic groups on finite-dimensional central
simple algebras. We describe the fixed algebra for a broad class of such
actions.

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