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math.RT2018
On depth in the local Langlands correspondence for tori
Anne-Marie Aubert, Roger Plymen
Let be a non-archimedean local field. In the local Langlands correspondence for tori over , we prove an asymptotic result for the depths.
math.RT2018
Note on the non-preservation of depth
Roger Plymen
Let be a local field of characteristic . We consider the local Langlands correspondence for tori, and construct examples for which depth is not preserved.