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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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: 28 Aug 2020 23:42
URI: https://ueaeprints.uea.ac.uk/id/eprint/74421
DOI: 10.1112/plms.12340

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