Categories graded by group homomorphisms
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914308529586176 |
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| author | Davies, Jonathan |
| author_facet | Davies, Jonathan |
| contents | We generalise to a group homomorphism $τ$ the $χ$-graded categories of Sözer and Virelizier. These are categories in which both morphisms and objects have compatible degrees. We give a 'half-enriched' Yoneda lemma, a structure theorem for semisimple $τ$-graded categories, and an alternative picture of $τ$-graded categories in terms of pseudofunctors into $\mathbf{Cat}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05990 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Categories graded by group homomorphisms Davies, Jonathan Category Theory 18N10 (Primary) 18A50, 18D20 (Secondary) We generalise to a group homomorphism $τ$ the $χ$-graded categories of Sözer and Virelizier. These are categories in which both morphisms and objects have compatible degrees. We give a 'half-enriched' Yoneda lemma, a structure theorem for semisimple $τ$-graded categories, and an alternative picture of $τ$-graded categories in terms of pseudofunctors into $\mathbf{Cat}$. |
| title | Categories graded by group homomorphisms |
| topic | Category Theory 18N10 (Primary) 18A50, 18D20 (Secondary) |
| url | https://arxiv.org/abs/2602.05990 |