FROBENIUS-PERRON DIMENSIONS OF CONJUGACY CLASSES AND AN ITO-MICHLER-TYPE RESULT IN MODULAR FUSION CATEGORIES
Abstract The influence of certain arithmetic conditions on the sizes of conjugacy classes of a finite group on the group structure has been extensively studied in recent years. In this paper, we explore analogous properties for fusion categories. In particular, we establish an Ito-Michler-type result for modular fusion categories.
Authors
- Sebastian Burciu (ORCID: https://orcid.org/0000-0001-7016-5749)
Institutions
- Romanian Academy (RO)
Publication Details
- Journal
- Journal of the Institute of Mathematics of Jussieu
- Published
- 2025-08-28
- DOI
- https://doi.org/10.1017/s1474748025101126
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Academia Româna