A new criterion for integral modular categorification
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912642770141184 |
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| author | Dong, Jingcheng Palcoux, Sebastien |
| author_facet | Dong, Jingcheng Palcoux, Sebastien |
| contents | A generalization of an argument due to Etingof-Nikshych-Ostrik yields a highly efficient necessary criterion for integral modular categorification. This criterion allows us to complete the classification of categorifiable integral modular data up to rank 14, and up to rank 25 in the odd-dimensional case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10311 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A new criterion for integral modular categorification Dong, Jingcheng Palcoux, Sebastien Quantum Algebra Category Theory Number Theory Representation Theory 18M20 (Primary) 11R04, 11R32 (Secondary) A generalization of an argument due to Etingof-Nikshych-Ostrik yields a highly efficient necessary criterion for integral modular categorification. This criterion allows us to complete the classification of categorifiable integral modular data up to rank 14, and up to rank 25 in the odd-dimensional case. |
| title | A new criterion for integral modular categorification |
| topic | Quantum Algebra Category Theory Number Theory Representation Theory 18M20 (Primary) 11R04, 11R32 (Secondary) |
| url | https://arxiv.org/abs/2510.10311 |