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The Category Types of Extensions of a Tambara-Yamagami Category

The Category Types of Extensions of a Tambara-Yamagami Category

Year:    2024

Author:    Kai Wang, Jingcheng Dong

Journal of Mathematical Study, Vol. 57 (2024), Iss. 4 : pp. 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 $p=q.$

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v57n4.24.02

Journal of Mathematical Study, Vol. 57 (2024), Iss. 4 : pp. 437–445

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Fusion category extension Tambara-Yamagami category category type.

Author Details

Kai Wang

Jingcheng Dong