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arxiv: 1412.8019 · v2 · pith:Y3FBWAEVnew · submitted 2014-12-27 · 🧮 math.RT · math.NT

Global uniqueness of small representations

classification 🧮 math.RT math.NT
keywords representationssmallcertainautomorphiccomponentsfunctionalsgloballocal
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We prove that automorphic representations whose local components are certain small representations have multiplicity one. The proof is based on the multiplicity-one theorem for certain functionals of small representations, also proved in this paper.

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