17 citations · 154 across the 69 of their papers we have counts for
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A -basis for the cluster algebra associated to an affine quiver
Ming Ding, Jie Xiao, Fan Xu
The canonical bases of cluster algebras of finite types and rank 2 are given explicitly in \cite{CK2005} and \cite{SZ} respectively. In this paper, we will deduce -base…
Green formula in Hall algebras and cluster algebras
Jie Xiao, Fan Xu
The objective of the present paper is to give a survey of recent progress on applications of the approaches of Ringel-Hall type algebras to quantum groups and cluster algebras via…
A multiplication formula for module subcategories of Ext-symmetry
Jie Xiao, Fan Xu
We define evaluation forms associated to objects in a module subcategory of Ext-symmetry generated by finitely many simple modules over a path algebra with relations and prove a mu…
Well-posedness of the Fifth Order Kadomtsev-Petviashvili I Equation in Anisotropic Sobolev Spaces with Nonnegative Indices
Junfeng Li, Jie Xiao
In this paper we establish the local and global well-posedness of the real valued fifth order Kadomstev-Petviashvili I equation in the anisotropic Sobolev spaces with nonnegative i…
Toward Best Isoperimetric Constants for -Normal Conformal Metrics on ,
Jie Xiao
The aim of this article is: (a) To establish the existence of the best isoperimetric constants for the -normal conformal metrics on , $n\ge 3…