Mackey functors from the viewpoint of double category theories
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914399019597824 |
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| author | Wu, Mawei |
| author_facet | Wu, Mawei |
| contents | Let $G$ be a finite group. In this paper, we first introduce a new notion, so-called the Mackey double category of $G$. Then we prove that the category of Mackey double categories and the category of Mackey functors of $G$ are equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18065 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mackey functors from the viewpoint of double category theories Wu, Mawei Group Theory Category Theory Representation Theory Let $G$ be a finite group. In this paper, we first introduce a new notion, so-called the Mackey double category of $G$. Then we prove that the category of Mackey double categories and the category of Mackey functors of $G$ are equivalent. |
| title | Mackey functors from the viewpoint of double category theories |
| topic | Group Theory Category Theory Representation Theory |
| url | https://arxiv.org/abs/2504.18065 |