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In this chapter we collect some immediate applications of the optimality theory of the previous chapter in the context of G-complete reducibility, including some significant generalisations of earlier results from this book. A theme of the chapter is that the optimality constructions allow proofs which are very short and uniform (free of any case checks), demonstrating the power of the geometric approach.

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Applications to G-Complete Reducibility

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  • 发表日期：

    2026年

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  • Michael Bate,
  • Benjamin Martin,
  • Gerhard Röhrle

摘要

In this chapter we collect some immediate applications of the optimality theory of the previous chapter in the context of G-complete reducibility, including some significant generalisations of earlier results from this book. A theme of the chapter is that the optimality constructions allow proofs which are very short and uniform (free of any case checks), demonstrating the power of the geometric approach.