Yuze Ruan

collaborators

4 papers

math.QA2026

Braiding structures on categorical multi-Interval Jones-Wassermann subfactor

Zhengwei Liu, Yuze Ruan

In this paper, we construct braiding structures on the multi-interval Jones-Wassermann subfactor planar algebra associated with any unitary modular fusion category. Utilizing this…

math.RT2024

Low-dimensional indecomposable representations of the braid group $B_{3}$

Eric C. Rowell, Yuze Ruan

In this note we give a complete classification of all indecomposable yet reducible representations of $B_{3}$ for dimensions $2$ and $3$ over an algebraically closed field $K$ with c…

math.QA2024

On $Z /2 Z$ permutation gauging

Zhengwei Liu, Yuze Ruan

We explicitly construct a (unitary) $Z /2 Z$ permutation gauging of a (unitary) modular category $C$ . In particular, the formula for the modular data of t…

math.GT2024

Projective representations of Hecke groups from Topological quantum field theory

Yuze Ruan

We construct projective (unitary) representations of Hecke groups from the vector spaces associated with the Witten-Reshetikhin-Turaev topological quantum field theory of higher ge…

Braiding structures on categorical multi-Interval Jones-Wassermann subfactor

Low-dimensional indecomposable representations of the braid group B3​

On Z/2Z permutation gauging

Projective representations of Hecke groups from Topological quantum field theory

Low-dimensional indecomposable representations of the braid group $B_{3}$

On $Z /2 Z$ permutation gauging