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arXiv · 2210.07283

On irreducible supersingular representations of $\mathrm{GL}_{2}(F)$

Mihir Sheth
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Abstract

Let $F$ be a non-archimedean local field of residual characteristic $p>3$ and residue degree $f>1$. We study a certain type of diagram, called \emph{cyclic diagrams}, and use them to show that the universal supersingular modules of $\mathrm{GL}_{2}(F)$ admit infinitely many non-isomorphic irreducible admissible quotients.

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BibTeXRIS

Mihir Sheth. 2022-10-13. On irreducible supersingular representations of $\mathrm{GL}_{2}(F)$. https://doi.org/10.2140/pjm.2022.321.431

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