Depth and the local Langlands correspondence Aubert, Anne-Marie and Baum, Paul and Plymen, Roger and Solleveld, Maarten 2013

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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