Transitive Lie algebroids and \textbf{Q}-manifolds
Differential Geometry
2024-04-17 v1
Abstract
We introduce the notion of \textbf{Q}-principal bundle, which is the appropriate version of principal fibre bundles in the setting of R. Barre's \textbf{Q}-manifolds. As an application, we prove that every transitive Lie algebroid arises from the Atiyah sequence of a certain \textbf{Q}-principal bundle, and we give the interpretation of this result in terms of groupoids.
Keywords
Cite
@article{arxiv.2404.10607,
title = {Transitive Lie algebroids and \textbf{Q}-manifolds},
author = {Daniel Beltita and Fernand Pelletier},
journal= {arXiv preprint arXiv:2404.10607},
year = {2024}
}
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43 pages