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

DOI10.1007/s10468-022-10175-warXiv2004.11341OpenAlexW4307818452MaRDI QIDQ6070294

J. Daisie Rock

Publication date: 20 November 2023

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.11341

zbMATH Keywords

quiver representationsmutationcluster algebrascluster categoriescontinuous quivers

Mathematics Subject Classification ID

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

Cites Work

• On a cluster category of infinite Dynkin type, and the relation to triangulations of the infinity-gon
• Cluster algebras and triangulated surfaces. I: Cluster complexes
• Scattering forms and the positive geometry of kinematics, color and the worldsheet
• Transfinite mutations in the completed infinity-gon
• Cambrian combinatorics on quiver representations (type \(\mathbb{A})\)
• Abelian categories arising from cluster tilting subcategories
• Continuously triangulating the continuous cluster category
• \(c\)-vectors of 2-Calabi-Yau categories and Borel subalgebras of \(\mathfrak{sl}_\infty \)
• Continuous cluster categories. I
• Tilting theory and cluster combinatorics.
• Cluster algebras I: Foundations
• Cluster structures for 2-Calabi–Yau categories and unipotent groups
• Abelian categories arising from cluster tilting subcategories II: quotient functors
• Decomposition of persistence modules
• Cluster structures in Schubert varieties in the Grassmannian
• Continuous Frobenius Categories
• Quivers with relations arising from clusters (𝐴_{𝑛} case)
• CONTINUOUS QUIVERS OF TYPE A (III) EMBEDDINGS OF CLUSTER THEORIES

This page was built for publication: Continuous quivers of type \(A\) (IV). Continuous mutation and geometric models of \textbf{E}-clusters