Date of Award

8-1-2022

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Choiy, Kwangho

Abstract

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.

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