English

A remark on conductor, depth and principal congruence subgroups

Number Theory 2022-02-22 v2 Representation Theory

Abstract

In this paper we study a relation between conductor, depth, and the level of principal congruence subgroups for irreducible admissible representations of GLn(F){\rm GL}_n(F) for a non-archimedean local field FF of characteristic zero. Some global and local applications are also discussed.

Keywords

Cite

@article{arxiv.2107.08130,
  title  = {A remark on conductor, depth and principal congruence subgroups},
  author = {Michitaka Miyauchi and Takuya Yamauchi},
  journal= {arXiv preprint arXiv:2107.08130},
  year   = {2022}
}

Comments

12 pages, published already in Journal of Algebra

R2 v1 2026-06-24T04:16:41.958Z