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Bibliographic Details
Main Authors:	Dong, Jingcheng, Palcoux, Sebastien
Format:	Preprint
Published:	2025
Subjects:	Quantum Algebra Category Theory Number Theory Representation Theory 18M20 (Primary) 11R04, 11R32 (Secondary)
Online Access:	https://arxiv.org/abs/2510.10311
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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.