A new criterion for integral modular categorification
Quantum Algebra
2025-10-14 v1 Category Theory
Number Theory
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2510.10311,
title = {A new criterion for integral modular categorification},
author = {Jingcheng Dong and Sebastien Palcoux},
journal= {arXiv preprint arXiv:2510.10311},
year = {2025}
}
Comments
8 pages. Comments are welcome!