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arXiv · 0804.2015

Green formula in Hall algebras and cluster algebras

Jie Xiao·Fan Xu
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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 $\bbc^{*}$-action.

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Jie Xiao, Fan Xu. 2008-04-12. Green formula in Hall algebras and cluster algebras. https://arxiv.org/abs/0804.2015

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