Mo Huang

collaborators

4 papers

math.QA2026

Classification of symmetric fusion categories over $R$

Mo Huang, Hao Xu, Zhi-Hao Zhang

We show that every symmetric fusion category over $R$ is equivalent to the category of finite-dimensional semi-linear representations of a $Z_{2}$ -graded finite sup…

math-ph2026

Finite 2-group gauge theory and its 3+1D lattice realization

Mo Huang

In this work, we employ the Tannaka-Krein reconstruction to compute the quantum double $D (G)$ of a finite 2-group $G$ as a Hopf monoidal category. We als…

math.RT2025

The 2-character theory of finite 2-groups

Mo Huang, Hao Xu, Zhi-Hao Zhang

We generalize the notion of character for 2-representations of finite 2-groups. The properties of 2-characters bear strong similarities to those classical characters of finite grou…

math.QA2025

Tannaka-Krein duality for finite 2-groups

Mo Huang, Zhi-Hao Zhang

Let $G$ be a finite 2-group. We show that the 2-category $2 Rep (G)$ of finite semisimple 2-representations is a symmetric fusion 2-category. We also rel…

Classification of symmetric fusion categories over R

Finite 2-group gauge theory and its 3+1D lattice realization

The 2-character theory of finite 2-groups

Tannaka-Krein duality for finite 2-groups

Classification of symmetric fusion categories over $R$