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This chapter is devoted to a complete proof of the so-called optimality results of Kempf (Ann. Math. 108(2):299–316, 1978), Rousseau (C.R.A.S. 286:247–250, 1978) and Hesselink (J. Reine Angew. Math. 303/304:74–96, 1978), which give a strengthening of the Hilbert-Mumford Theorem 3.3.2 and form a central plank of our programme of applying geometry to the theory of G-complete reducibility.

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The Optimality Formalism

  • 章节

  • 发表日期：

    2026年

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  • Michael Bate,
  • Benjamin Martin,
  • Gerhard Röhrle

摘要

This chapter is devoted to a complete proof of the so-called optimality results of Kempf (Ann. Math. 108(2):299–316, 1978), Rousseau (C.R.A.S. 286:247–250, 1978) and Hesselink (J. Reine Angew. Math. 303/304:74–96, 1978), which give a strengthening of the Hilbert-Mumford Theorem 3.3.2 and form a central plank of our programme of applying geometry to the theory of G-complete reducibility.