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A note on presentations of supersingular representations of $${\text {GL}}_2(F)$$
manuscripta mathematica ( IF 0.5 ) Pub Date : 2020-07-03 , DOI: 10.1007/s00229-020-01224-z
Zhixiang Wu

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.

中文翻译:

关于 $${\text {GL}}_2(F)$$ 的超奇异表示的介绍

我们证明,当 $F$ 是 $\mathbb{Q}_p$ 的有限域扩展使得 $F \neq \mathbb{Q}_p$,将 Schraen 的结果扩展为二次扩展。
更新日期:2020-07-03
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