A Module-Theoretic Interpretation of Schiffler's Expansion Formula

Thomas Brüstle; Jie Zhang

doi:10.1080/00927872.2011.629267

A Module-Theoretic Interpretation of Schiffler's Expansion Formula

Thomas Brüstle
, Jie Zhang^*

^*此作品的通讯作者

Université de Sherbrooke
Tsinghua University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

We give a module-theoretic interpretation of Schiffler's expansion formula which is defined combinatorially in terms of complete (Γ, γ)-paths in order to get the expansion of the cluster variables in the cluster algebra of a marked surface (S, M). Based on the geometric description of the indecomposable objects of the cluster category of the marked surface (S, M), we show the coincidence of Schiffler-Thomas' expansion formula and the cluster character defined by Palu.

源语言	英语
页（从-至）	260-283
页数	24
期刊	Communications in Algebra
卷	41
期	1
DOI	https://doi.org/10.1080/00927872.2011.629267
出版状态	已出版 - 1月 2013
已对外发布	是

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10.1080/00927872.2011.629267

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