Work

The Category Types of Extensions of a Tambara-Yamagami Category

Year: 2024

Type: article

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 $p=q.$

Source: Journal of Mathematical Study

DOI: 10.4208/jms.v57n4.24.02

Authors: Kai Wang, Jingcheng Dong

Institution: Nanjing University of Information Science and Technology

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405880070

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Cites: 10

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Related to: 10