The Category Types of Extensions of a Tambara-Yamagami Category
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@Article{JMS-57-437,
author = {Wang , Kai and Dong , Jingcheng},
title = {The Category Types of Extensions of a Tambara-Yamagami Category},
journal = {Journal of Mathematical Study},
year = {2024},
volume = {57},
number = {4},
pages = {437--445},
abstract = {
In this paper, we study the group extension of a Tambara-Yamagami category which has Frobenius-Perron dimension $2pq,$ where $p,q$ are prime numbers. We prove that there are two possible category types when $p\ne q,$ and five possible category types when $p=q.$
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v57n4.24.02}, url = {http://global-sci.org/intro/article_detail/jms/23710.html} }
TY - JOUR
T1 - The Category Types of Extensions of a Tambara-Yamagami Category
AU - Wang , Kai
AU - Dong , Jingcheng
JO - Journal of Mathematical Study
VL - 4
SP - 437
EP - 445
PY - 2024
DA - 2024/12
SN - 57
DO - http://doi.org/10.4208/jms.v57n4.24.02
UR - https://global-sci.org/intro/article_detail/jms/23710.html
KW - Fusion category, extension, Tambara-Yamagami category, category type.
AB -
In this paper, we study the group extension of a Tambara-Yamagami category which has Frobenius-Perron dimension $2pq,$ where $p,q$ are prime numbers. We prove that there are two possible category types when $p\ne q,$ and five possible category types when $p=q.$
Wang , Kai and Dong , Jingcheng. (2024). The Category Types of Extensions of a Tambara-Yamagami Category.
Journal of Mathematical Study. 57 (4).
437-445.
doi:10.4208/jms.v57n4.24.02
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