中文

Miyauchi 子群的体积

数论 2022-04-04 v3 群论 表示论

摘要

Miyauchi 用由一串子群定义的局部新形式描述了秩为三的非分歧酉群的通用表示的 LL 因子与 ε\varepsilon-因子。我们计算了这些 Miyauchi 子群的体积。

关键词

引用

@article{arxiv.1912.11921,
  title  = {The volumes of Miyauchi subgroups},
  author = {Didier Lesesvre and Ian Petrow},
  journal= {arXiv preprint arXiv:1912.11921},
  year   = {2022}
}

备注

The paper has been revised as follows in v3: Our results have now been generalized to include even residue characteristic. We added some remarks on ramification in a new section 1.4. There was an error in Lemma 9 in earlier versions of this paper, which has now been corrected in v3. This is the final version of the paper, which is to appear in Archiv der Mathematik