Fusion Categories over Non-Algebraically Closed Fields
Quantum Algebra
2024-07-26 v3
Abstract
Several complications arise when attempting to work with fusion categories over arbitrary fields. Here we describe some of the new phenomena that occur when the field is not algebraically closed, and we adapt tools such as the Frobenius-Perron dimension in order to accommodate these new effects.
Keywords
Cite
@article{arxiv.2401.02354,
title = {Fusion Categories over Non-Algebraically Closed Fields},
author = {Sean Sanford},
journal= {arXiv preprint arXiv:2401.02354},
year = {2024}
}
Comments
28 pages. Fixed typos and added remarks. Some indexing has changed