Anandavardhanan, U. K., Kurinczuk, Rob, Matringe, Nadir, Sécherre, Vincent and Stevens, Shaun (2021) Galois self-dual cuspidal types and Asai local factors. Journal of the European Mathematical Society, 23 (9). 3129–3191. ISSN 1435-9855
Preview |
PDF (AsaiLocalFactors.pdf)
- Accepted Version
Download (562kB) | Preview |
Abstract
Let E/F be a quadratic extension of non-archimedean locally compact fields of odd residual characteristic and σ be its non-trivial automorphism. We show that any σ-self-dual cuspidal representation of GL(n,E) contains a σ-self-dual Bushnell–Kutzko type. Using such a type, we cons- truct an explicit test vector for Flicker’s local Asai L-function of a GL(n,F)-distinguished cuspidal representation and compute the associated Asai root number. Finally, by using global methods, we compare this root number to Langlands–Shahidi’s local Asai root number, and more generally we compare the corresponding epsilon factors for any cuspidal representation.
Item Type: | Article |
---|---|
Faculty \ School: | Faculty of Science > School of Mathematics |
Related URLs: | |
Depositing User: | LivePure Connector |
Date Deposited: | 12 Apr 2019 08:30 |
Last Modified: | 24 May 2023 03:44 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/70544 |
DOI: | 10.4171/JEMS/1080 |
Actions (login required)
![]() |
View Item |