English

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

Representation Theory 2019-08-12 v2 Number Theory

Abstract

Let FF be any non-Archimedean local field with residue field of cardinality qFq_F. In this article, we obtain a classification of typical representations for the Bernstein components associated to the inertial classes of the form [GLn(F)×F×,σχ][{\rm GL}_n(F)\times F^\times, \sigma\otimes\chi] with qF>2q_F>2, and for the principal series components with qF>3q_F>3. With this we complete the classification of typical representations for GL3(F){\rm GL}_3(F), for qF>2q_F>2.

Keywords

Cite

@article{arxiv.1405.7286,
  title  = {On classification of typical representations for ${\rm GL}_3(F)$},
  author = {Santosh Nadimpalli},
  journal= {arXiv preprint arXiv:1405.7286},
  year   = {2019}
}

Comments

Final accepted version

R2 v1 2026-06-22T04:25:17.686Z