Local decomposition and linearization of Loday brackets
Differential Geometry
2026-05-05 v1 Symplectic Geometry
Abstract
We study local splitting-type results for general Loday algebroids and use them to obtain a direct proof of the splitting theorem for Courant algebroids. We also discuss the linearization problem and establish a general linearization principle using Euler-like derivations.
Cite
@article{arxiv.2605.01926,
title = {Local decomposition and linearization of Loday brackets},
author = {Hudson Lima},
journal= {arXiv preprint arXiv:2605.01926},
year = {2026}
}