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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2103.03974 |
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| _version_ | 1866909308071968768 |
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| author | Balmer, Paul Dell'Ambrogio, Ivo |
| author_facet | Balmer, Paul Dell'Ambrogio, Ivo |
| contents | We show that the bicategory of finite groupoids and right-free permutation bimodules is a quotient of the bicategory of Mackey 2-motives introduced in arXiv:1808.04902, obtained by modding out the so-called cohomological relations. This categorifies Yoshida's Theorem for ordinary cohomological Mackey functors, and provides a direct connection between Mackey 2-motives and the usual blocks of representation theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_03974 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Cohomological Mackey 2-functors Balmer, Paul Dell'Ambrogio, Ivo Category Theory Group Theory Representation Theory We show that the bicategory of finite groupoids and right-free permutation bimodules is a quotient of the bicategory of Mackey 2-motives introduced in arXiv:1808.04902, obtained by modding out the so-called cohomological relations. This categorifies Yoshida's Theorem for ordinary cohomological Mackey functors, and provides a direct connection between Mackey 2-motives and the usual blocks of representation theory. |
| title | Cohomological Mackey 2-functors |
| topic | Category Theory Group Theory Representation Theory |
| url | https://arxiv.org/abs/2103.03974 |