44 citations · 352 across the 42 of their papers we have counts for
7 papers · 1 filter
3-Alterfolds and Quantum Invariants
Zhengwei Liu, Shuang Ming, Yilong Wang +1
In this paper, we introduce the concept of 3-alterfolds with embedded separating surfaces. When the separating surface is decorated by a spherical fusion category, we obtain quantu…
Interpolated family of non group-like simple integral fusion rings of Lie type
Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren
This paper is motivated by the quest of a non-group irreducible finite index depth 2 maximal subfactor. We compute the generic fusion rules of the Grothendieck ring of Rep(PSL(2,q)…
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…
Fusion Bialgebras and Fourier Analysis
Zhengwei Liu, Sebastien Palcoux, Jinsong Wu
We introduce fusion bialgebras and their duals and systematically study their Fourier analysis. As an application, we discover new efficient analytic obstructions on the unitary ca…
Antisymmetric characters and Fourier duality
Zhengwei Liu, Jinsong Wu
Inspired by the quantum McKay correspondence, we consider the classical Lie theory as a quantum theory over . We introduce anti-symmetric characters for repr…
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…
Planar Para Algebras, Reflection Positivity
Arthur Jaffe, Zhengwei Liu
We define a planar para algebra, which arises naturally from combining planar algebras with the idea of para symmetry in physics. A subfactor planar para algebra i…