Scholarlink

In this chapter we prove four important results which use the theory of G-complete reducibility and the geometric methods developed in the previous chapter. We focus on two related themes: understanding conjugacy classes of subgroups of G (or more generally conjugacy classes of homomorphisms into G) and understanding maps between quotients of the form \(G^n/\mkern -5mu/ G\) . The link to G-complete reducibility is Theorem 5.3.3 , since the points of the quotient variety \(G^n/\mkern -5mu/ G\) correspond to closed orbits in \(G^n\) , and these in turn correspond to conjugacy classes of G-cr subgroups of G.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Finiteness, Rationality and Rigidity Results

  • 章节

  • 发表日期：

    2026年

查看全文
  • Michael Bate,
  • Benjamin Martin,
  • Gerhard Röhrle

摘要

In this chapter we prove four important results which use the theory of G-complete reducibility and the geometric methods developed in the previous chapter. We focus on two related themes: understanding conjugacy classes of subgroups of G (or more generally conjugacy classes of homomorphisms into G) and understanding maps between quotients of the form \(G^n/\mkern -5mu/ G\) . The link to G-complete reducibility is Theorem 5.3.3 , since the points of the quotient variety \(G^n/\mkern -5mu/ G\) correspond to closed orbits in \(G^n\) , and these in turn correspond to conjugacy classes of G-cr subgroups of G.