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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.19317 |
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| _version_ | 1866918278469779456 |
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| author | Allaoui, Benachir El |
| author_facet | Allaoui, Benachir El |
| contents | We show the vanishing of higher extension groups and torsion groups between linearisation of additive functors from a semi-additive category satisfying some conditions to a category of vector spaces. In particular, we apply our results to the category of correspondences functors of Bouc-Thévenaz. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19317 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | (Co)homological vanishing for non-additive representations of a semi-additive category Allaoui, Benachir El Category Theory Representation Theory 18G15 We show the vanishing of higher extension groups and torsion groups between linearisation of additive functors from a semi-additive category satisfying some conditions to a category of vector spaces. In particular, we apply our results to the category of correspondences functors of Bouc-Thévenaz. |
| title | (Co)homological vanishing for non-additive representations of a semi-additive category |
| topic | Category Theory Representation Theory 18G15 |
| url | https://arxiv.org/abs/2507.19317 |