3 citations · 4 across the 4 of their papers we have counts for
5 papers
A generating problem for subfactors
Yunxiang Ren
Bisch and Jones proposed the classification of planar algebras by simple generators and relations. In this paper, we study the generating problem for a family of group-subgroup sub…
Universal skein theory for group actions
Yunxiang Ren
Given a group action on a finite set, we define the group-action model which consists of tensor network diagrams which are invariant under the group symmetry. In particular, group-…
On Jones Subgroup of R. Thompson's Group
Jordan Nikkel, Yunxiang Ren
Jones introduced unitary representations for the Thompson groups and from a given subfactor planar algebra. Some interesting subgroups arise as the stabilizer of certain ve…
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…
Classification of Thurston-relation subfactor planar algebras
Corey Jones, Zhengwei Liu, Yunxiang Ren
Bisch and Jones suggested the skein theoretic classification of planar algebras and investigated the ones generated by 2-boxes with the second author. In this paper, we consider 3-…