Tilting Mutation and Duplicated Algebras

DOI10.1080/00927870802504965zbMath1208.16018OpenAlexW2002410149MaRDI QIDQ3646335

Shun-Hua Zhang

Publication date: 20 November 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802504965

zbMATH Keywords

tilting moduleshereditary algebrascluster categoriestilting objectsduplicated algebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20) Homological dimension in associative algebras (16E10) Cluster algebras (13F60)

Related Items (4)

Representation dimensions of triangular matrix algebras. ⋮ Partial tilting modules over \(m\)-replicated algebras. ⋮ Representation dimension of \(m\)-replicated algebras. ⋮ TILTING MUTATION FOR m-REPLICATED ALGEBRAS

Cites Work

• Unnamed Item
• Cluster categories and duplicated algebras.
• Equivalences between cluster categories
• Cluster algebras. II: Finite type classification
• On the quiver of tilting modules.
• \(m\)-cluster categories and \(m\)-replicated algebras.
• Tilting theory and cluster combinatorics.
• Cluster algebras I: Foundations
• Cluster-tilted algebras
• Clusters and seeds in acyclic cluster algebras

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