4 papers
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-…
On the acyclic quantum cluster algebras with principal coefficients
Junyuan Huang, Xueqing Chen, Ming Ding +1
In this paper, we focus on a new lower bound quantum cluster algebra which is generated by the initial quantum cluster variables and the quantum projective cluster variables of an…
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…
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…