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arXiv · 2605.01926

Local decomposition and linearization of Loday brackets

Hudson Lima
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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.

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Hudson Lima. 2026-05-03. Local decomposition and linearization of Loday brackets. https://arxiv.org/abs/2605.01926

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