Volume 56, Issue 1
Group-Theoretical Property of Slightly Degenerate Fusion Categories of Certain Frobenius-Perron Dimensions

Zhiqiang Yu & Ying Zheng

J. Math. Study, 56 (2023), pp. 103-110.

Published online: 2022-11

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  • 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.

  • AMS Subject Headings

18M20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

zhiqyumath@yzu.edu.cn (Zhiqiang Yu)

yzhengmath@yzu.edu.cn (Ying Zheng)

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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.

Yu , Zhiqiang and Zheng , Ying. (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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