Jordan-Chevalley decompositions over imperfect fields
Representation Theory
2026-04-13 v1
Abstract
We give a classification of Jordan-Chevalley decompositions of an endomorphism of a finite-dimensional vector space over a not necessarily perfect field, i.e. additive decompositions into commuting semisimple and nilpotent endomorphisms.
Cite
@article{arxiv.2604.08740,
title = {Jordan-Chevalley decompositions over imperfect fields},
author = {Fabian Hebestreit and Manuel Hoff and Werner Hoffmann},
journal= {arXiv preprint arXiv:2604.08740},
year = {2026}
}