Local-global principles for the existence of Levi factors
Group Theory
2026-03-30 v1 Algebraic Geometry
Abstract
We discuss local-global principles for the existence of Levi factors (i.e., complements to the unipotent radical) for linear algebraic groups over one-variable function fields. We give examples of disconnected groups that fail the local-global principle, and prove a strong local-global principle in the presence of Levi descent.
Keywords
Cite
@article{arxiv.2603.26501,
title = {Local-global principles for the existence of Levi factors},
author = {David Harbater and Julia Hartmann and George McNinch},
journal= {arXiv preprint arXiv:2603.26501},
year = {2026}
}
Comments
7 pages