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arXiv · 2604.08740

Jordan-Chevalley decompositions over imperfect fields

Fabian Hebestreit·Manuel Hoff·Werner Hoffmann
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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.

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Fabian Hebestreit, Manuel Hoff, Werner Hoffmann. 2026-04-09. Jordan-Chevalley decompositions over imperfect fields. https://arxiv.org/abs/2604.08740

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