CONTINUOUS QUIVERS OF TYPE A (III) EMBEDDINGS OF CLUSTER THEORIES

DOI10.1017/nmj.2021.16zbMath1502.13051arXiv2004.10740OpenAlexW3018537513MaRDI QIDQ5867587

Kiyoshi Igusa, Job D. Rock, Gordana Todorov

Publication date: 14 September 2022

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10740

zbMATH Keywords

derived categorycluster algebraKrull-Schmidt categoryAuslander-Reiten \((AR)\) spacecontinuous quiver

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items (1)

Continuous quivers of type \(A\) (IV). Continuous mutation and geometric models of \textbf{E}-clusters

Cites Work

• Unnamed Item
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• Cluster tilting vs. weak cluster tilting in Dynkin type A infinity
• \(c\)-vectors of 2-Calabi-Yau categories and Borel subalgebras of \(\mathfrak{sl}_\infty \)
• Continuous cluster categories. I
• Tilting theory and cluster combinatorics.
• Triangulated Categories
• Cluster algebras I: Foundations
• Cluster structures for 2-Calabi–Yau categories and unipotent groups
• Cluster algebras IV: Coefficients
• Decomposition of persistence modules
• Categories and Sheaves
• Quivers with relations arising from clusters (𝐴_{𝑛} case)

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