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

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Abstract

By computing reducibility points of parabolically induced representations, we construct, to within at most two unramied quadratic characters, the putative Langlands parameter of an arbitrary depth zero irreducible cuspidal representation of a classical group (which may be not-quasi-split) over a nonarchimedean local eld of odd characteristic. From this, we can explicitly describe all the irreducible cuspidal representations in the union of one, two, or four L-packets, containing . 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
Depositing User: LivePure Connector
Date Deposited: 05 Mar 2020 06:45
Last Modified: 05 Jul 2020 23:44
URI: https://ueaeprints.uea.ac.uk/id/eprint/74421
DOI: 10.1112/plms.12340

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