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arXiv · 2507.07329

On some integral properties of dimensions in Isaacs fusion categories

S. Burciu
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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.

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S. Burciu. 2025-07-09. On some integral properties of dimensions in Isaacs fusion categories. https://arxiv.org/abs/2507.07329

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