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Depth and the local Langlands correspondence (1311.1606v2)

Published 7 Nov 2013 in math.RT

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.