A BRIEF HISTORY OF THE POSITIVITY CONJECTURE IN TENSOR CATEGORY THEORY

被引：0
|
作者：
Mason, Geoffrey [1 ]
机构：
[1] UC Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA
来源：
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2019年 / 14卷 / 02期
关键词：
Fusion category; positivity conjecture; Frobenius-Schur indicator;
D O I：
10.21915/BIMAS.2019202
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show the existence of a finite group G having an irreducible character chi with Frobenius-Schur indicator nu(2) (chi)=+1 such that chi(2) has an irreducible constituent phi with nu(2) (phi)= -1. This provides counterexamples to the positivity conjecture in rational CFT and a conjecture of Zhenghan Wang about pivotal fusion categories.
引用
收藏
页码：149 / 153
页数：5
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