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arXiv · 2403.14285

3-Preprojective Algebras of Type D

Jordan Haden
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Abstract

We present a family of selfinjective algebras of type D, which arise from the 3-preprojective algebras of type A by taking a $\mathbb{Z}_3$-quotient. We show that a subset of these are themselves 3-preprojective algebras, and that the associated 2-representation-finite algebras are fractional Calabi-Yau. In addition, we show our work is connected to modular invariants for SU(3).

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BibTeXRIS

Jordan Haden. 2024-03-21. 3-Preprojective Algebras of Type D. https://doi.org/10.1007/s10468-024-10297-3

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