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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…
A generalized quantum cluster algebra of Kronecker type
Liqian Bai, Xueqing Chen, Ming Ding +1
The cluster multiplication formulas for a generalized quantum cluster algebra of Kronecker type are explicitly given. Furthermore, a positive bar-invariant $\mathbb{Z}[q^{\pm\frac{…
A quantum analogue of generalized cluster algebras
Liqian Bai, Xueqing Chen, Ming Ding +1
We define a quantum analogue of a class of generalized cluster algebras which can be viewed as a generalization of quantum cluster algebras defined in \cite{berzel}. In the case of…
Hall algebras for odd periodic triangulated categories
Fan Xu, Xueqing Chen
We define the Hall algebra associated to any triangulated category under some finiteness conditions with the -periodic translation functor for odd This generalizes th…