On some integral properties of dimensions in Isaacs fusion categories
Quantum Algebra
2025-07-11 v1 Category Theory
Representation Theory
Abstract
For a fusion category, we prove some new integral properties concerning the dimension of a simple object that generates a Isaacs fusion subcategory. A stronger divisibility result is proven for any modular fusion category. This divisibility result implies the converse direction of a Ito-Michler type result for modular fusion categories, recently established by the author.
Cite
@article{arxiv.2507.07329,
title = {On some integral properties of dimensions in Isaacs fusion categories},
author = {S. Burciu},
journal= {arXiv preprint arXiv:2507.07329},
year = {2025}
}
Comments
26 pages. Comments are welcome!