Mathematical Research Letters

Volume 26 (2019)

Number 6

On some nonadmissible smooth irreducible representations for $\mathrm{GL}_2$

Pages: 1747 – 1758



Daniel Le (Department of Mathematics, University of Toronto, Ontario, Canada)


Let $p \gt 2$ be a prime. We give examples of smooth absolutely irreducible representations of $\mathrm{GL}_2 (\mathbb{Q}_{p^3})$ over $\mathbb{F}_{p^3}$ which are not admissible.

Received 29 September 2018

Accepted 10 February 2019

Published 6 March 2020