Pre-modular fusion categories of global dimension $2p$

Let $p>5$ be a prime. In this paper, we show that a pre-modular fusion category of global dimension $2p$ is either pointed or tensor equivalent to $\text{Rep}(D_{2p})$.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-29
DOI
https://doi.org/10.48550/arxiv.2610.39318
Primary Topic
Algebraic structures and combinatorial models
Type
preprint
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preprint

Pre-modular fusion categories of global dimension $2p$

Zhiqiang Yu
arXiv (Cornell University)
Algebraic structures and combinatorial models
preprint

Pre-modular fusion categories of global dimension $2p$

Zhiqiang Yu
preprint en

Abstract

Let $p>5$ be a prime. In this paper, we show that a pre-modular fusion category of global dimension $2p$ is either pointed or tensor equivalent to $\text{Rep}(D_{2p})$.

arXiv (Cornell University)
Algebraic structures and combinatorial models
DOIOpen Access PDFOpenAlex
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Pre-modular fusion categories of global dimension $2p$ — Zhiqiang Yu · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS