Frobenius property for fusion categories of small integral dimension

Dong Jingcheng; Natale Sonia; Vendramin Leandro

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Frobenius property for fusion categories of small integral dimension

机译：小积分维数融合类别的Frobenius属性

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摘要

Let k be an algebraically closed field of characteristic zero. In this paper, we prove that fusion categories of Frobenius-Perron dimensions 84 and 90 are of Frobenius type. Combining this with previous results in the literature, we obtain that every weakly integral fusion category of Frobenius-Perron dimension less than 120 is of Frobenius type.

机译：令k为特征零的代数封闭场。在本文中，我们证明Frobenius-Perron尺寸为84和90的融合类别为Frobenius类型。将其与文献中的先前结果相结合，我们得出Frobenius-Perron维数小于120的每个弱积分融合类别都是Frobenius类型。

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《Journal of algebra and its applications》 |2015年第2期|共17页
作者
Dong Jingcheng; Natale Sonia; Vendramin Leandro;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
Fusion category; Frobenius property; Frobenius-Perron dimension;

机译：融合类别;Frobenius属性;Frobenius-Perron维度;

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1. Frobenius property for fusion categories of small integral dimension [J] . Dong Jingcheng, Natale Sonia, Vendramin Leandro Journal of algebra and its applications . 2015,第2期

机译：小积分维数融合类别的Frobenius属性
2. Integral Modular Categories of Frobenius-Perron Dimension pq (n) [J] . Dong Jingcheng, Tucker Henry Algebras and representation theory . 2016,第1期

机译：Frobenius-Perron维数pq（n）的积分模块类别
3. Classification of Integral Modular Categories of Frobenius-Perron Dimension pq~4 and p~2q~2 [J] . Paul Bruillard, César Galindo, Seung-Moon Hong, Canadian Mathematical Bulletin . 2014,第4期

机译：Frobenius-Perron维数pq〜4和p〜2q〜2的积分模分类的分类
4. Dimensionality Reduction with Category Information Fusion and Non-negative Matrix Factorization for Text Categorization [C] . Wenbin Zheng, Yuntao Qian, Hong Tang AICI 2011;International conference on artificial intelligence and computational intelligence . 2011

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5. The role of working memory in selective attention: Integrality of two speech dimensions across and within a category boundary. [D] . Zdanczyk, Cynthia L. 2009

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6. Properties of the Lennard-Jones dimeric fluid in two dimensions: An integral equation study [O] . Tomaz Urbic, Cristiano L. Dias -1

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7. Frobenius property for fusion categories of small integral dimension [O] . Dong, Jingcheng, Natale, Sonia, Vendramin, Leandro 2014

机译：Frobenius属性为小积分维的融合类

Frobenius property for fusion categories of small integral dimension

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