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arXiv · 1311.1606

Depth and the local Langlands correspondence

Paul Baum·Anne-Marie Aubert·Roger Plymen·Maarten Solleveld
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Abstract

Let G be an inner form of a general linear group over a non-archimedean local field. We prove that the local Langlands correspondence for G preserves depths. We also show that the local Langlands correspondence for inner forms of special linear groups preserves the depths of essentially tame Langlands parameters.

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Paul Baum, Anne-Marie Aubert, Roger Plymen, Maarten Solleveld. 2013-11-07. Depth and the local Langlands correspondence. https://arxiv.org/abs/1311.1606

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