Group-Theoretical Property of Slightly Degenerate Fusion Categories of Certain Frobenius-Perron Dimensions

Group-Theoretical Property of Slightly Degenerate Fusion Categories of Certain Frobenius-Perron Dimensions

Year:    2023

Author:    Zhiqiang Yu, Ying Zheng

Journal of Mathematical Study, Vol. 56 (2023), Iss. 1 : pp. 103–110

Abstract

Let $p, q$ be odd primes, and let $d$ be an odd square-free integer such that $(pq,d)=1$. We show that slightly degenerate fusion categories of Frobenius-Perron dimensions $2p^2q^2d$, $2p^2q^3d$ and $2p^3q^3d$ are group-theoretical.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v56n1.23.04

Journal of Mathematical Study, Vol. 56 (2023), Iss. 1 : pp. 103–110

Published online:    2023-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Group-theoretical fusion category slightly degenerate fusion category.

Author Details

Zhiqiang Yu

Ying Zheng