PreprintCC0arXiv
Pre-modular fusion categories of global dimension 2p
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 Rep(D2p).
Related
- Generalized property F for weakly group-theoretical modular fusion categories
- Modular fusion categories with trivial Torelli group actions
- Commutative exact algebras and modular tensor categories
- Classifying Grothendieck rings of pivotal fusion categories of rank four
- Cyclic Haagerup-Izumi fusion categories at every odd order
BibTeX
@misc{yu2026premodular,
title = {{Pre-modular fusion categories of global dimension $2p$}},
author = {Zhiqiang Yu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.39318},
eprint = {2610.39318},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.39318},
note = {CC0},
}
RIS
TY - UNPB
TI - Pre-modular fusion categories of global dimension 2p
AU - Zhiqiang Yu
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.39318
UR - https://arxiv.org/abs/2610.39318
AB - 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 Rep(D_2p).
ER -