Local decomposition and linearization of Loday brackets
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914527352717312 |
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| author | Lima, Hudson |
| author_facet | Lima, Hudson |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_01926 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Local decomposition and linearization of Loday brackets Lima, Hudson Differential Geometry Symplectic Geometry 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. |
| title | Local decomposition and linearization of Loday brackets |
| topic | Differential Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2605.01926 |