Green formula in Hall algebras and cluster algebras
Representation Theory
2008-04-15 v1 Rings and Algebras
Abstract
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 various forms of Green's formula. In this paper, three forms of Green's formula are highlighted, (1) the original form of Green's formula \cite{Green}\cite{RingelGreen}, (2) the degeneration form of Green's formula \cite{DXX} and (3) the projective form of Green's formula \cite{XX2007a} i.e. Green formula with a -action.
Cite
@article{arxiv.0804.2015,
title = {Green formula in Hall algebras and cluster algebras},
author = {Jie Xiao and Fan Xu},
journal= {arXiv preprint arXiv:0804.2015},
year = {2008}
}
Comments
The paper was published in the Proceedings of the 4th international congress of chinese mathematicians