Para-associative Algebroids
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915382562914304 |
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| author | Bruce, Andrew James |
| author_facet | Bruce, Andrew James |
| contents | We introduce para-associative algebroids as vector bundles whose sections form a ternary algebra with a generalised form of associativity. We show that a necessary and sufficient condition for local triviality is the existence of a differential connection, i.e., a connection that satisfies the Leibniz rule over the ternary product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01350 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Para-associative Algebroids Bruce, Andrew James Differential Geometry Mathematical Physics 17A30, 20N10 We introduce para-associative algebroids as vector bundles whose sections form a ternary algebra with a generalised form of associativity. We show that a necessary and sufficient condition for local triviality is the existence of a differential connection, i.e., a connection that satisfies the Leibniz rule over the ternary product. |
| title | Para-associative Algebroids |
| topic | Differential Geometry Mathematical Physics 17A30, 20N10 |
| url | https://arxiv.org/abs/2505.01350 |