论文标题
关于$ \ mathrm {gl} _ {2}（f）$的不可约的超词表示
On irreducible supersingular representations of $\mathrm{GL}_{2}(F)$
论文作者
论文摘要
令$ f $是剩余特征$ p> 3 $和残留度$ f> 1 $的非一切本的本地领域。我们研究了某种类型的图表，称为\ emph {环状图}，并使用它们来表明$ \ mathrm {gl} _ {2} _ {2}（f）的通用超单词模块$允许无限地承认许多非同构的不可及可允许的可允许的可允许的引言。
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.
