Para-associative Algebroids
Differential Geometry
2025-07-14 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.2505.01350,
title = {Para-associative Algebroids},
author = {Andrew James Bruce},
journal= {arXiv preprint arXiv:2505.01350},
year = {2025}
}
Comments
12 pages