13 citations · 13 across the 3 of their papers we have counts for
4 papers
Modular data of non-semisimple modular categories
Liang Chang, Quinn T. Kolt, Zhenghan Wang +1
We investigate non-semisimple modular categories with an eye towards a structure theory, low-rank classification, and applications to low dimensional topology and topological physi…
On weak Hopf symmetry and weak Hopf quantum double model
Zhian Jia, Sheng Tan, Dagomir Kaszlikowski +1
Symmetry is a central concept for classical and quantum field theory, usually, symmetry is described by a finite group or Lie group. In this work, we introduce the weak Hopf algebr…
Representations of the loop braid groups from braided tensor categories
Liang Chang
The loop braid group is the motion group of unknotted oriented circles in . In this paper, we study their representations through the approach inspired by two dimensi…
On Two Invariants of Three Manifolds from Hopf Algebras
Liang Chang, Shawn X. Cui
We prove a 20-year-old conjecture concerning two quantum invariants of three manifolds that are constructed from finite dimensional Hopf algebras, namely, the Kuperberg invariant a…