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

Roger Plymen, Anne-Marie Aubert

Research output: Contribution to journalArticlepeer-review

14 Downloads (Pure)

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:=R E/FG 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.

Original languageEnglish
Pages (from-to)24-58
Number of pages35
JournalJournal of Number Theory
Volume233
Early online date21 Jul 2021
DOIs
Publication statusPublished - 28 Dec 2021

Keywords

  • Local field
  • Depth
  • Weil-restricted groups
  • Enhanced local Langlands correspondence

Fingerprint

Dive into the research topics of 'Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups'. Together they form a unique fingerprint.

Cite this