3 papers
math.QA2026
Classification of symmetric fusion categories over
Mo Huang, Hao Xu, Zhi-Hao Zhang
We show that every symmetric fusion category over is equivalent to the category of finite-dimensional semi-linear representations of a -graded finite sup…
math-ph2025
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 of a finite 2-group as a Hopf monoidal category. We als…
math.RT2024
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…