3 citations · 4 across the 5 of their papers we have counts for
5 papers
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…
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…
Representations of tame quivers and affine canonical bases
Zongzhu Lin, Jie Xiao, Guanglian Zhang
An integral PBW-basis of type has been constructed by Zhang [Z] and Chen [C] using the Auslander-Reiten quiver of the Kronecker quiver. We associate a geometric order t…
Green's formula with $\bbc^{*}$-action and Caldero-Keller's formula for cluster algebras
Jie Xiao, Fan Xu
It is known that Green's formula over finite fields gives rise to the comultiplications of Ringel-Hall algebras and quantum groups (see\cite{Green}, also see \cite{Lusztig}). In th…