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Complete reducibility: variations on a theme of Serre

Complete reducibility: variations on a theme of Serre

Abstract In this note, we unify and extend various concepts in the area of G -complete reducibility, where G is a reductive algebraic group. By results of Serre and Bate–Martin–Röhrle, the usual notion of G -complete reducibility can be re-framed as a property of an action of a group on …