3 papers
math.QA2025
On the Casimir number and formal codegree of Haagerup-Izumi fusion rings
Ying Zheng, Jiacheng Bao, Zhiqiang Yu
For any cyclic group , we first determine the Casimir number and determinant of the Haagerup-Izumi fusion ring , it turns out that they d…
math.QA2018
On some root multiplicities for Nichols algebras of diagonal type over arbitrary fields
Ying Zheng
In this paper, our main aim is to determine the multiplicities of a class of roots for Nichols algebra of diagonal type over fields of arbitrary characteristic, which is a generali…
math.QA2018
A characterization of Nichols algebras of diagonal type which are free algebras
István Heckenberger, Ying Zheng
This paper is devoted to explore the freeness of Nichols algebras of diagonal type and to determine the dimension of the kernel of the shuffle map considered as an operator acting…