A local converse theorem for GL(n) (archimedean case)

2017/02/24 by Moshe Adrian, Adrian, Moshe, Shuichiro Takeda +1
Mathematics · #11S37 #22E50 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #math.RT #msc:11S37 #msc:22E50

paper · pdf · doi:10.48550/arxiv.1702.07632

19 pages. Mistake found in Section 5 of previous version, which is now fixed in this version. Other typos fixed, improved exposition

openalex publication_date 2017/02/24 · arxiv created 2017/03/17 · arxiv updated 2017/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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