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 language | English |
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Pages (from-to) | 24-58 |
Number of pages | 35 |
Journal | Journal of Number Theory |
Volume | 233 |
Early online date | 21 Jul 2021 |
DOIs | |
Publication status | Published - 28 Dec 2021 |
Keywords
- Local field
- Depth
- Weil-restricted groups
- Enhanced local Langlands correspondence