Abelianization of Lie algebroids and Lie groupoids
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913589508440064 |
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| author | Xiao, Shuyu |
| author_facet | Xiao, Shuyu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_17617 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Abelianization of Lie algebroids and Lie groupoids Xiao, Shuyu Differential Geometry 22A22, 53D17 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. |
| title | Abelianization of Lie algebroids and Lie groupoids |
| topic | Differential Geometry 22A22, 53D17 |
| url | https://arxiv.org/abs/2405.17617 |