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FROBENIUS-PERRON DIMENSIONS OF CONJUGACY CLASSES AND AN ITO-MICHLER-TYPE RESULT IN MODULAR FUSION CATEGORIES

Part of: Hopf algebras, quantum groups and related topics

Published online by Cambridge University Press:  28 August 2025

Sebastian Burciu Open the ORCID record for Sebastian Burciu [Opens in a new window]
Sebastian Burciu*
Affiliation:
Inst. of Math. “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, RO-014700, Bucharest, Romania
*
(smburciu@gmail.com)
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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.

MSC classification

Secondary: 16T30: Connections with combinatorics

Information

Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 24 , Issue 6 , November 2025 , pp. 2523 - 2542
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Copyright
© The Author(s), 2025. Published by Cambridge University Press

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Footnotes

The author is supported by a Research Grant GAR 2023 (cod 114), supported from the Donors’ Recurrent Fund of the Romanian Academy, managed by the “PATRIMONIU” Foundation

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