English

A classification of even representations onto 3-adic SL(2)

Number Theory 2025-12-24 v1

Abstract

This paper gives a classification of even representations onto SL(2,Z3)\operatorname{SL}(2,\mathbb{Z}_3) of prime conductor. In addition, an explicit algorithm based on global class field theory is exhibited, computing an exhaustive series of such even representations.

Keywords

Cite

@article{arxiv.2512.20461,
  title  = {A classification of even representations onto 3-adic SL(2)},
  author = {Peter Vang Uttenthal},
  journal= {arXiv preprint arXiv:2512.20461},
  year   = {2025}
}
R2 v1 2026-07-01T08:38:44.789Z