Group-Theoretical Property of Slightly Degenerate Fusion Categories of Certain Frobenius-Perron Dimensions
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@Article{JMS-56-103,
author = {Yu , Zhiqiang and Zheng , Ying},
title = {Group-Theoretical Property of Slightly Degenerate Fusion Categories of Certain Frobenius-Perron Dimensions},
journal = {Journal of Mathematical Study},
year = {2022},
volume = {56},
number = {1},
pages = {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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v56n1.23.04}, url = {http://global-sci.org/intro/article_detail/jms/21230.html} }
TY - JOUR
T1 - Group-Theoretical Property of Slightly Degenerate Fusion Categories of Certain Frobenius-Perron Dimensions
AU - Yu , Zhiqiang
AU - Zheng , Ying
JO - Journal of Mathematical Study
VL - 1
SP - 103
EP - 110
PY - 2022
DA - 2022/11
SN - 56
DO - http://doi.org/10.4208/jms.v56n1.23.04
UR - https://global-sci.org/intro/article_detail/jms/21230.html
KW - Group-theoretical fusion category, slightly degenerate fusion category.
AB -
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.
Zhiqiang Yu & Ying Zheng. (2022). Group-Theoretical Property of Slightly Degenerate Fusion Categories of Certain Frobenius-Perron Dimensions.
Journal of Mathematical Study. 56 (1).
103-110.
doi:10.4208/jms.v56n1.23.04
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