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arxiv: 1302.4304 · v1 · pith:75BL355Cnew · submitted 2013-02-18 · 🧮 math.NT · math.RT

Langlands parameters for epipelagic representations of rm GL_n

classification 🧮 math.NT math.RT
keywords epipelagiclanglandsparametersrepresentationstextconductorcuspidaldescription
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Let $F$ be a non-Archimedean local field. An irreducible cuspidal representation of $\text{\rm GL}_n(F)$ is epipelagic if its Swan conductor equals 1. We give a full and explicit description of the Langlands parameters of such representations.

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