activity
20062026
most citedA quantum analogue of generic bases for affine cluster algebras

13 citations · 36 across the 31 of their papers we have counts for

collaborators

32 papers

math.RT2026

A refined multiplication formula in 2-Calabi-Yau Frobenius extriangulated categories

Ming Ding, Fan Xu, Panyue Zhou

We prove a multiplication formula for the Wang-Wei-Zhang cluster character on a Hom-finite -Calabi--Yau Frobenius extriangulated category with a cluster-tilting obj…

math.QA2025

Fundamental relations in quantum cluster algebras

Junyuan Huang, Xueqing Chen, Ming Ding +1

Let be an arbitrary quantum cluster algebra with principal coefficients. We give the fundamental relations between the quantum cluster variables arising from one-…

math.QA2025

Explicit cluster multiplication formulas for the quantum cluster algebra of type

Danting Yang, Xueqing Chen, Ming Ding +1

Let be an affine quiver of type . We explicitly construct the cluster multiplication formulas for the quantum cluster algebra of with principal coefficients. As…

math.RA2024

Some properties of generalized cluster algebras of geometric types

Junyuan Huang, Xueqing Chen, Fan Xu +1

We study the lower bound algebras generated by the generalized projective cluster variables of acyclic generalized cluster algebras of geometric types. We prove that this lower bou…

math.RA2023

On a conjecture of transposed Poisson -Lie algebras

Junyuan Huang, Xueqing Chen, Zhiqi Chen +1

In this paper, we obtain a rich family of identities for transposed Poisson -Lie algebras, and then prove the conjecture of Bai, Bai, Guo and Wu in \cite{BBGW} under certain str…

math.CO2023

Real-rootedness of the type A minuscule polynomials

Ming-Jian Ding, Jiang Zeng

We prove two recent conjectures of Bourn and Erickson (2023) regarding the real-rootedness of a certain family of polynomials as well as the sum of their coefficients. The…