Scholarlink

While some results for G-complete reducibility hold without any restrictions on the characteristic p of the underlying field, such as Lemma 4.1.6 and Theorem 9.1.1 , for instance, others do require a bound on p. In this section we explore various results of the latter kind along with some counterexamples when p is small. As above, guiding questions for this chapter are Questions 4.1.8 and 4.1.9 on ascent and descent of complete reducibility. We make the following definition.

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

Large Versus Small Characteristic

  • 章节

  • 发表日期：

    2026年

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

摘要

While some results for G-complete reducibility hold without any restrictions on the characteristic p of the underlying field, such as Lemma 4.1.6 and Theorem 9.1.1 , for instance, others do require a bound on p. In this section we explore various results of the latter kind along with some counterexamples when p is small. As above, guiding questions for this chapter are Questions 4.1.8 and 4.1.9 on ascent and descent of complete reducibility. We make the following definition.