Abelianization of Lie algebroids and Lie groupoids
Differential Geometry
2024-12-02 v2
Abstract
We investigate the abelianization of a Lie algebroid and provide a necessary and sufficient condition for its existence. We also study the abelianization of groupoids and provide sufficient conditions for its existence in the smooth category and a necessary and sufficient condition for its existence in the diffeological category.
Keywords
Cite
@article{arxiv.2405.17617,
title = {Abelianization of Lie algebroids and Lie groupoids},
author = {Shuyu Xiao},
journal= {arXiv preprint arXiv:2405.17617},
year = {2024}
}
Comments
22 pages, Updated with more detailed explanation and fixed typos