Group-theoretical property of some integral non-degenerate fusion categories

IF 0.8 2区数学 Q2 MATHEMATICS

Israel Journal of Mathematics Pub Date : 2024-08-04 DOI:10.1007/s11856-024-2631-z

Zhiqiang Yu

引用次数: 0

Abstract

We show that an integral non-degenerate fusion category \({\cal C}\) is group-theoretical if the Frobenius–Perron dimensions of its simple objects are either 1 or powers of a prime p.

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某些积分非退化融合范畴的群论性质

我们证明，如果一个积分非退化融合范畴（{\cal C}\）的简单对象的弗罗贝纽斯-佩伦维数（Frobenius-Perron dimensions）要么是1，要么是素数p的幂，那么这个范畴就是群论的。

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

Israel Journal of Mathematics 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： The Israel Journal of Mathematics is an international journal publishing high-quality original research papers in a wide spectrum of pure and applied mathematics. The prestigious interdisciplinary editorial board reflects the diversity of subjects covered in this journal, including set theory, model theory, algebra, group theory, number theory, analysis, functional analysis, ergodic theory, algebraic topology, geometry, combinatorics, theoretical computer science, mathematical physics, and applied mathematics.