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On supersingular representations of GL(2, D) with a division algebra D over a p-adic field

Let D be a division algebra over a p-adic field of characteristic 0. We investigate the mod-p supersingular representations of GL(2, D) by computing a basis for the space of invariants of a certain quotient under the pro-p Iwahori subgroup. This generalizes the previous works of Hendel and Schein.

Identiferoai:union.ndltd.org:siu.edu/oai:opensiuc.lib.siu.edu:dissertations-3065
Date01 August 2022
CreatorsWijerathne, Wijerathne Mudiyanselage Menake
PublisherOpenSIUC
Source SetsSouthern Illinois University Carbondale
Detected LanguageEnglish
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SourceDissertations

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