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Local decomposition and linearization of Loday brackets

Published 3 May 2026 in math.DG and math.SG | (2605.01926v1)

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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