Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups

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Abstract

Let E/F be a finite and Galois extension of non-archimedean local fields. Let G be a connected reductive group defined over E and let M be the reductive group over F obtained by Weil restriction of scalars. We investigate depth, and the enhanced local Langlands correspondence, in the transition from G(E) to M(F). We obtain a depth-comparison formula for Weil-restricted groups.

Bibliographical metadata

Original languageEnglish
Pages (from-to)24-58
JournalJournal of Number Theory
Volume233 (2022)
Early online date21 Jul 2021
DOIs
Publication statusPublished - 28 Dec 2021