Mathematical Research Letters

Volume 26 (2019)

Number 6

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

Pages: 1747 – 1758

DOI: https://dx.doi.org/10.4310/MRL.2019.v26.n6.a6

Author

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

Abstract

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.

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Received 29 September 2018

Accepted 10 February 2019

Published 6 March 2020