ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF -ADIC REDUCTIVE GROUPS

FLORIAN HERZIG, KAROL KOZIOŁ, MARIE-FRANCE VIGNÉRAS
2020 Forum of Mathematics, Sigma  
Suppose that $\mathbf{G}$ is a connected reductive group over a finite extension $F/\mathbb{Q}_{p}$ and that $C$ is a field of characteristic $p$ . We prove that the group $\mathbf{G}(F)$ admits an irreducible admissible supercuspidal, or equivalently supersingular, representation over $C$ .
doi:10.1017/fms.2019.50 fatcat:rqga6wpct5ffdjucwpyoay2jsq