44 citations · 352 across the 42 of their papers we have counts for
5 papers · 1 filter
An angle between intermediate subfactors and its rigidity
Keshab Chandra Bakshi, Sayan Das, Zhengwei Liu +1
We introduce a new notion of angle between intermediate subfactors and prove various interesting properties of the angle and relate it with the Jones' index. We prove a uniform 60…
Lifting shadings on symmetrically self-dual subfactor planar algebras
Zhengwei Liu, Scott Morrison, David Penneys
In this note, we discuss the notion of symmetric self-duality of shaded planar algebras, which allows us to lift shadings on subfactor planar algebras to obtain Z/2Z-graded unitary…
A Mathematical Picture Language Program
Arthur Jaffe, Zhengwei Liu
We give an overview of our philosophy of pictures in mathematics. We emphasize a bi-directional process between picture language and mathematical concepts: abstraction and simulati…
Quon language: surface algebras and Fourier duality
Zhengwei Liu
Quon language is a 3D picture language that we can apply to simulate mathematical concepts. We introduce the surface algebras as an extension of the notion of planar algebras to hi…
Block maps and Fourier analysis
Changlan Jiang, Zhengwei Liu, Jinsong Wu
We introduce block maps for subfactors and study their dynamic systems. We prove that the limit points of the dynamic system are positive multiples of biprojections and zero. For t…