Fundamental domains of cluster categories inside module categories.

DOI10.1016/j.jalgebra.2012.03.001zbMath1281.16022arXiv1112.5896OpenAlexW2076718637MaRDI QIDQ1758541

Juan Ángel Cappa, Idun Reiten, María Inés Platzeck

Publication date: 9 November 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5896

zbMATH Keywords

bounded derived categoriestilted algebrascluster categoriesfundamental domainsfinite dimensional hereditary algebrasquivers of cluster-tilted algebras

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60) Derived categories and associative algebras (16E35)

Cites Work

• Unnamed Item
• Cluster categories and duplicated algebras.
• Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
• \(m\)-cluster categories and \(m\)-replicated algebras.
• On the representation dimension of tilted and laura algebras.
• Tilting theory and cluster combinatorics.
• Cluster algebras I: Foundations
• Mutation of cluster-tilting objects and potentials
• Cluster-tilted algebras
• Almost Complete Tilting Modules
• Tilting in abelian categories and quasitilted algebras
• Cluster-tilted algebras as trivial extensions
• Global dimensions for endomorphism algebras of tilting modules

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