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arxiv: 1702.07632 · v2 · pith:SLDXZ6VBnew · submitted 2017-02-24 · 🧮 math.RT

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

classification 🧮 math.RT
keywords localarchimedeanconversetheoremadmissiblecasecharacterizesclass
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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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