English

A local converse theorem for archimedean GL(n)

Representation Theory 2023-03-20 v1 Number Theory

Abstract

We prove a local converse theorem for GLnGL_n over the archimedean local fields which characterizes an infinitesimal equivalence class of irreducible admissible representations of GLn(R)GL_n(\mathbb{R}) or GLn(C)GL_n(\mathbb{C}) in terms of twisted local gamma factors.

Keywords

Cite

@article{arxiv.2303.10000,
  title  = {A local converse theorem for archimedean GL(n)},
  author = {Moshe Adrian and Shuichiro Takeda},
  journal= {arXiv preprint arXiv:2303.10000},
  year   = {2023}
}

Comments

Accepted into Forum Mathematicum

R2 v1 2026-06-28T09:21:36.868Z