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arXiv · 2302.07428

On supersingular representations of $GL_2(D)$ with a division algebra $D$ over a $p$-adic field

Wijerathne Mudiyanselage Menake Wijerathne
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Abstract

We investigate the mod-$p$ supersingular representations of $GL_2(D)$, where $D$ is a division algebra over a $p$-adic field with characteristic 0, by computing a basis for the vector space of the pro-$p$ Iwahori subgroup invariants of a certain quotient of a compact induction. This work generalizes the results of Hendel and Schein.

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BibTeXRIS

Wijerathne Mudiyanselage Menake Wijerathne. 2023-02-15. On supersingular representations of $GL_2(D)$ with a division algebra $D$ over a $p$-adic field. https://arxiv.org/abs/2302.07428

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