On some integral properties of dimensions in Isaacs fusion categories
arXiv:2507.07329
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.
26 pages. Comments are welcome!