Extending silted algebras to cluster-tilted algebras

DOI10.1142/S0219498821501693zbMath1487.16018arXiv2005.07723OpenAlexW3037829710MaRDI QIDQ5157919

Hanpeng Gao

Publication date: 20 October 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07723

zbMATH Keywords

cluster-tilted algebrastilted algebrasrelation extensionsilted algebras

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20)

Cites Work

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• Silted algebras
• Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
• Endomorphism algebras of 2-term silting complexes
• Algebras with small homological dimensions
• Tilting theory and cluster combinatorics.
• On triangulated orbit categories
• Cluster-tilted algebras
• Tilted Algebras
• -tilting theory
• Cluster-tilted algebras as trivial extensions
• Quivers with relations arising from clusters (𝐴_{𝑛} case)

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