Abstract
We give a combinatorial description of a family of indecomposable objects in the triangulated category of perfect complexes \(\mathcal {K}^{b}(\mathcal {P}_{\Lambda })\), where Λ is a certain algebra of dihedral type (as introduced by K. Erdmann) with three simple modules. We then discuss the shape of the corresponding components of the Auslander-Reiten quiver of \(\mathcal {K}^{b}(\mathcal {P}_{\Lambda })\) containing these objects.
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Presented by Yuri Drozd.
The first author was supported by the project Estrategia de Sostenibilidad 2014-2015 at the Universidad de Antioquia and by COLCIENCIAS-ECOPETROL (Contrato RC No. 0266-2013). The second author was supported by the Release Time for Research Scholarship of the Office of Academic Affairs at the Valdosta State University. Both authors were also supported by the project Algebras de Conglomerado by the CODI at the Universidad de Antioquia.
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Giraldo, H., Vélez-Marulanda, J.A. String and Band Complexes over Certain Algebra of Dihedral Type. Algebr Represent Theor 19, 419–433 (2016). https://doi.org/10.1007/s10468-015-9581-4
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DOI: https://doi.org/10.1007/s10468-015-9581-4