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.
CITATION STYLE
Aubert, A. M., Baum, P., & Plymen, R. (2016). Depth and the local langlands correspondence. In Progress in Mathematics (Vol. 319, pp. 17–41). Springer Basel. https://doi.org/10.1007/978-3-319-43648-7_2
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