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arXiv · 2608.08222

Enumerating iterated tilted algebras in type $A$

Alexander E. Black·Jonathan E. Gordon·Ray Maresca
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Abstract

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.

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Alexander E. Black, Jonathan E. Gordon, Ray Maresca. 2026-08-08. Enumerating iterated tilted algebras in type $A$. https://arxiv.org/abs/2608.08222

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