Green formula in Hall algebras and cluster algebras

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dc.creatorXiao, Jie
dc.creatorXu, Fan
dc.date2008-04-12
dc.date.accessioned2026-07-07T09:32:07Z
dc.date.available2026-07-07T09:32:07Z
dc.descriptionThe 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.
dc.descriptionThe paper was published in the Proceedings of the 4th international congress of chinese mathematicians
dc.identifierhttps://arxiv.org/abs/0804.2015
dc.identifierhttp://arxiv.org/abs/0804.2015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158698
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject16G20, 16G70
dc.titleGreen formula in Hall algebras and cluster algebras
dc.typetext

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