A local converse theorem for GL(n) (archimedean case)
Representation Theory
2017-03-20 v2
Abstract
In this paper we prove a local converse theorem for GL_n over the archimedean local fields, which characterizes an infinitesimal equivalence class of irreducible admissible representations of GL_n(R) (or GL_n(C)) in terms of twisted L-factors.
Cite
@article{arxiv.1702.07632,
title = {A local converse theorem for GL(n) (archimedean case)},
author = {Moshe Adrian and Shuichiro Takeda},
journal= {arXiv preprint arXiv:1702.07632},
year = {2017}
}
Comments
19 pages. Mistake found in Section 5 of previous version, which is now fixed in this version. Other typos fixed, improved exposition