4 papers
math.QA2026
Classification of some -quadratic fusion categories of rank 6
Yue Meng, Zhiqiang Yu
A fusion category is said to be -quadratic if the group of invertible objects is isomorphic to $…
math.CT2026
On the structure of Witt groups and minimal extension conjecture
Theo Johnson-Freyd, Victor Ostrik, Zhiqiang Yu
Let be a Tannakian fusion category. For a braided fusion category over we give sufficient and necessary conditions that char…
math.QA2024
Realizing modular data from centers of near-group categories
Zhiqiang Yu, Qing Zhang
In this paper, we show the existence of a near-group category of type and compute the modular data of its Drinfeld cen…
math.QA2024
On the center of near-group fusion category of type
Zhiqiang Yu
Let be a near-group fusion category of type . We show that there is a modular tensor equivalence $\mathcal{Z}(\mathcal{A})\cong\mathcal{C}(\mathbb{Z}_…