Smooth representations of unit groups of split basic algebras over non-Archimedean local fields

• Main Authors: André, Carlos A. M, Dias, João
• Format: Journal Article
• Language: English
• Published: 31.10.2019
• Subjects: Mathematics - Representation Theory

We consider smooth representations of the unit group $G = \mathcal{A}^{\times}$ of a finite-dimensional split basic algebra $\mathcal{A}$ over a non-Archimedean local field. In particular, we prove a version of Gutkin's conjecture, namely, we prove that every irreducible smooth representation o...