On depth zero L-packets for classical groups

Lust, Jamie and Stevens, Shaun (2020) On depth zero L-packets for classical groups. Proceedings of the London Mathematical Society, 121 (5). pp. 1083-1120. ISSN 0024-6115

[thumbnail of LustStevensDepthZeroFinal]
Preview
PDF (LustStevensDepthZeroFinal) - Accepted Version
Download (528kB) | Preview
[thumbnail of Published_Version]
Preview
PDF (Published_Version) - Published Version
Available under License Creative Commons Attribution.

Download (510kB) | Preview

Abstract

By computing reducibility points of parabolically induced representations, we construct, to within at most two unramified quadratic characters, the Langlands parameter of an arbitrary depth zero irreducible cuspidal representation (Formula presented.) of a classical group (which may be not-quasi-split) over a non-archimedean local field of odd residual characteristic. From this, we can explicitly describe all the irreducible cuspidal representations in the union of one, two, or four (Formula presented.) -packets, containing (Formula presented.). These results generalize the work of DeBacker–Reeder (in the case of classical groups) from regular to arbitrary tame Langlands parameters.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Number Theory (former - to 2017)
Faculty of Science > Research Groups > Algebra and Combinatorics
Related URLs:
Depositing User: LivePure Connector
Date Deposited: 05 Mar 2020 06:45
Last Modified: 06 May 2023 23:56
URI: https://ueaeprints.uea.ac.uk/id/eprint/74421
DOI: 10.1112/plms.12340

Actions (login required)

View Item View Item