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Abelianization of Lie algebroids and Lie groupoids (2405.17617v2)
Published 27 May 2024 in math.DG
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.
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