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arXiv · 2107.08130

A remark on conductor, depth and principal congruence subgroups

Michitaka Miyauchi·Takuya Yamauchi
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Abstract

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

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Michitaka Miyauchi, Takuya Yamauchi. 2021-07-16. A remark on conductor, depth and principal congruence subgroups. https://arxiv.org/abs/2107.08130

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