arXiv:2405.17617 Abstract | arXiv Analytics

arXiv:2405.17617 [math.DG]Abstract References Reviews Resources

Abelianization of Lie algebroids and Lie groupoids

Published 2024-05-27Version 1

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.

Comments: 22 pages

Categories: math.DG

Subjects: 22A22, 53D17

Keywords: lie algebroid, lie groupoids, sufficient condition, abelianization

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