44 citations · 352 across the 42 of their papers we have counts for
4 papers · 1 filter
Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six
Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren
This paper classifies the Grothendieck rings of complex fusion categories of multiplicity one up to rank six. Among 72 possible fusion rings, ones are filtered out by using ca…
The Grothendieck Ring of a Family of Spherical Categories
Zhengwei Liu, Christopher Ryba
The first author constructed a -parameterized spherical category $\sC$ over in [Liu15], whose simple objects are labelled by all Young diagrams. In this paper, w…
A Mathematical Picture Language Project
Arthur Jaffe, Zhengwei Liu
The mathematical picture language project that we began in 2016 has already yielded interesting results. We also point out areas of mathematics and physics where we hope that it wi…
Quantum Fourier Analysis
Arthur Jaffe, Chunlan Jiang, Zhengwei Liu +2
{\em Quantum Fourier analysis} is a new subject that combines an algebraic Fourier transform (pictorial in the case of subfactor theory) with analytic estimates. This provides inte…