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arXiv · 2303.10000

A local converse theorem for archimedean GL(n)

Moshe Adrian·Shuichiro Takeda
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Abstract

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 $GL_n(\mathbb{R})$ or $GL_n(\mathbb{C})$ in terms of twisted local gamma factors.

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Moshe Adrian, Shuichiro Takeda. 2023-03-17. A local converse theorem for archimedean GL(n). https://arxiv.org/abs/2303.10000

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