AI 中文总结
该研究建立了A型$A_n$迭代倾斜代数同构类与凸$n+1$边形旋转等价非交叉生成树的双射关系，通过构造迭代倾斜代数与例外集的关联完成证明。
AI 中文摘要
我们证明，A型$A_n$迭代倾斜代数的同构类与凸$n+1$边形上旋转等价的非交叉生成树之间存在双射，这通过构造同构意义下迭代倾斜代数与同构Hom-Ext箭图意义下例外集之间的关系来实现。
英文摘要
We show that isoclasses of iterated tilted algebras in type $A_n$ are in bijection with non-crossing spanning trees up to rotation on a convex n+1-gon. This is done by constructing a relationship between iterated tilted algebras up to isomorphism and exceptional sets up to isomorphic Hom-Ext quiver.
Comments23 pages and 6 figures
