Zhiqiang Yu

collaborators

5 papers

math.QA2026

A trace lower bound for totally positive units in $Q (ζ_{p})^{+}$ and its application to fusion category

Yue Meng, Zhiqiang Yu

Let $p = 4 q + 1$ be a prime integer, where $q$ is an odd prime. Let $L = Q (ζ_{p})^{+}$ denote the maximal totally real subfield of the $p$ -th cyclotomic field $\mathbb{Q}(ζ_p)…

math.QA2026

Classification of some $Z /2 Z \times Z /2 Z$ -quadratic fusion categories of rank 6

Yue Meng, Zhiqiang Yu

A fusion category $C$ is said to be $Z /2 Z \times Z /2 Z$ -quadratic if the group $G (C)$ 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 $E = Rep (G)$ be a Tannakian fusion category. For a braided fusion category $C$ over $E$ 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 $Z /4 Z \times Z /4 Z + 16$ and compute the modular data of its Drinfeld cen…

math.QA2024

On the center of near-group fusion category of type $Z_{3} + 6$

Zhiqiang Yu

Let $A$ be a near-group fusion category of type $Z_{3} + 6$ . We show that there is a modular tensor equivalence $\mathcal{Z}(\mathcal{A})\cong\mathcal{C}(\mathbb{Z}_…

A trace lower bound for totally positive units in Q(ζp​)+ and its application to fusion category

Classification of some Z/2Z×Z/2Z-quadratic fusion categories of rank 6

On the structure of Witt groups and minimal extension conjecture

Realizing modular data from centers of near-group categories

On the center of near-group fusion category of type Z3​+6

A trace lower bound for totally positive units in $Q (ζ_{p})^{+}$ and its application to fusion category

Classification of some $Z /2 Z \times Z /2 Z$ -quadratic fusion categories of rank 6

On the center of near-group fusion category of type $Z_{3} + 6$