Fusion categories over non-algebraically closed fields

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2024-10-05 DOI:10.1016/j.jalgebra.2024.09.010

Sean Sanford

引用次数: 0

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.

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非代数闭域上的融合范畴

在尝试处理任意域上的融合范畴时，会出现一些复杂问题。在这里，我们描述了当场不代数封闭时出现的一些新现象，并调整了弗罗贝纽斯-佩伦维度等工具，以适应这些新影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.