On classification of typical representations for ${\mathrm{GL}}_3(F)$

Abstract

Let $F$ be any non-Archimedean local field with residue field of cardinality $q_F$. In this article, we obtain a classification of typical representations for the Bernstein components associated to the inertial classes of the form $[{\mathrm{GL}}_n(F)\times F^{\times },\sigma \otimes \chi ]$ with $q_F>2$, and for the principal series components with $q_F>3$. With this we complete the classification of typical representations for ${\mathrm{GL}}_3(F)$, for $q_F>2$.

Final accepted version

References in corpus (2)

• Intertwining of simple characters in GL(n)
• Typical representations for level zero Bernstein components of ${\mathrm{GL}}_n(F)$

Cited by in corpus (1)

• Typical representations via fixed point sets in Bruhat--Tits buildings