A remark on conductor, depth and principal congruence subgroups

Abstract

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

12 pages, published already in Journal of Algebra

References in corpus (1)

• Equidistribution theorems for holomorphic Siegel cusp forms of general degree: the level aspect

Cited by in corpus (1)

• The sup-norm problem beyond the newform