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arXiv:2303.08656 [math.RT]AbstractReferencesReviewsResources

On the sharpness of the bound for the local converse theorem of p-adic GL_N, general N

Moshe Adrian

Published 2023-03-15Version 1

Let F be a non-archimedean local field of characteristic zero. In this paper we construct examples of supercuspidal representations showing that the bound $[N/2]$ for the local converse theorem of $GL_N(F)$ is sharp, N general, when the residual characteristic of $F$ is bigger than $N$.

Categories: math.RT, math.NT
Subjects: 11S70, 22E50
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