Schiffler展开式的模论解释
A module-theoretic interpretation of Schiffler's expansion formula
摘要：
为了得到标记曲面（S，M）的簇代数中簇变量的展开式，我们给出了Schiffler展开式的模论解释，该展开式是用完全（T，r）-路组合定义的.在对标记曲面（S，M）的簇范畴的不可分解对象进行几何描述的基础上，证明了Schiffler-Thomas展开式与Palu定义的簇特征标的一致性。
英文摘要：
We give a module-theoretic interpretation of Schiffler's expansion formula which is defined combinatorially in terms of complete (T,r)-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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
