Yue Meng

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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 $…

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

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