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arXiv · 1911.12030

A note on presentations of supersingular representations of $\text{GL}_2(F)$

Zhixiang Wu
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Abstract

We prove that any smooth irreducible supersingular representation with central character of $\text{GL}_2(F)$ is never of finite presentation when $F$ is a finite field extension of $\mathbb{Q}_p$ such that $F\neq \mathbb{Q}_p$, extending a result of Schraen for quadratic extensions.

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Zhixiang Wu. 2019-11-27. A note on presentations of supersingular representations of $\text{GL}_2(F)$. https://doi.org/10.1007/s00229-020-01224-z

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