Yue Meng

collaborators

3 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.RA2026

Irreducible $Z_{+}$ -modules over some $Z_{+}$ -rings

Yue Meng

Let $d_{1}, \dots, d_{r}$ be pairwise relatively prime positive square-free integers, with $d_{j} \geq 2$ for all $1 \leq j \leq r$ . Using elementary matrices and combinatorial mathematics, w…

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

Irreducible Z+​-modules over some Z+​-rings

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

Irreducible $Z_{+}$ -modules over some $Z_{+}$ -rings

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