Green formula in Hall algebras and cluster algebras

作者: Fan Xu , Jie Xiao

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摘要: The objective of the present paper is to give a survey recent progress on applications approaches Ringel-Hall type algebras quantum groups and cluster via various forms Green's formula. In this paper, three formula are highlighted, (1) original form \cite{Green}\cite{RingelGreen}, (2) degeneration \cite{DXX} (3) projective \cite{XX2007a} i.e. Green with $\bbc^{*}$-action.

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