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arxiv: 2508.01950 · v2 · pith:VP65I5FYnew · submitted 2025-08-03 · 🧮 math.RA

Dimension two twisted graded Calabi--Yau algebras on two-vertex quivers

Jason Gaddis , Daryl Zazycki This is my paper
classification 🧮 math.RA
keywords algebrasquiverscalabi--yaugradedtwisteddimensionisomorphismtwo-vertex
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We classify, up to isomorphism, twisted graded Calabi--Yau algebras of dimension two on two-vertex quivers. By work of Reyes and Rogalski, such algebras may be presented as quotients of translation quivers by mesh relations. We also consider the isomorphism problem for certain families of twisted graded Calabi--Yau algebras on larger quivers.

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  1. Quiver down-up algebras of type A

    math.RA 2025-12 unverdicted novelty 6.0

    Quiver down-up algebras of type A are noetherian piecewise domains and twisted Calabi-Yau under a non-degeneracy condition.