\(\tau\)-complexity of cluster tilted algebras.

DOI10.1016/J.JPAA.2011.10.010zbMath1260.16018OpenAlexW2046335776MaRDI QIDQ425298

Marju Purin

Publication date: 8 June 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.10.010

zbMATH Keywords

Auslander-Reiten quiversAuslander-Reiten translatesrepresentation typescluster tilted algebrasmodules of finite complexity

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items (1)

\(\tau\)-complexity and tilting modules

Cites Work

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• Tame algebras and integral quadratic forms
• Representations, resolutions and Quillen's dimension theorem
• The spectral radius of the Coxeter transformations for a generalized Cartan matrix
• On Auslander-Reiten components for group algebras
• Tilting theory and cluster combinatorics.
• On triangulated orbit categories
• Cluster algebras I: Foundations
• COMPLEXITY OF TRIVIAL EXTENSIONS OF ITERATED TILTED ALGEBRAS
• Auslander-Reiten theory for modules of finite complexity over self-injective algebras
• Cluster Tilting and Complexity
• Cluster-tilted algebras
• Tilted Algebras

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