Local Galois representations associated to additive polynomials
Number Theory
2023-05-11 v1
Abstract
For an additive polynomial and a positive integer, we define an irreducible smooth representation of a Weil group of a non-archimedean local field. We study several invariants of this representation. We deduce a necessary and sufficient condition for it to be primitive.
Cite
@article{arxiv.2305.06060,
title = {Local Galois representations associated to additive polynomials},
author = {Takahiro Tsushima},
journal= {arXiv preprint arXiv:2305.06060},
year = {2023}
}