English

Langlands parameters for epipelagic representations of $\text{\rm GL}_n$

Number Theory 2013-10-10 v1 Representation Theory

Abstract

Let FF be a non-Archimedean local field. An irreducible cuspidal representation of GLn(F)\text{\rm GL}_n(F) is epipelagic if its Swan conductor equals 1. We give a full and explicit description of the Langlands parameters of such representations.

Keywords

Cite

@article{arxiv.1302.4304,
  title  = {Langlands parameters for epipelagic representations of $\text{\rm GL}_n$},
  author = {Colin J. Bushnell and Guy Henniart},
  journal= {arXiv preprint arXiv:1302.4304},
  year   = {2013}
}

Comments

25 pages

R2 v1 2026-06-21T23:28:05.444Z