Companion bases for cluster-tilted algebras

DOI10.1007/s10468-013-9418-yzbMath1336.13012arXiv1111.0450OpenAlexW2148960205MaRDI QIDQ742936

Mark James Parsons

Publication date: 19 September 2014

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

Full work available at URL: https://arxiv.org/abs/1111.0450

zbMATH Keywords

Cartan matrixroot systemfinite typecluster-tilted algebracluster algebracluster categorycompanion basisGabriel's Theorempositive quasi-Cartan companionsimply-laced

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Cluster algebras (13F60)

Related Items

Diagrammatic description of \(c\)-vectors and \(d\)-vectors of cluster algebras of finite type, Strongness of companion bases for cluster-tilted algebras of finite type, Cluster algebras from surfaces and extended affine Weyl groups, Reflection group relations arising from cluster algebras, Coxeter groups, quiver mutations and geometric manifolds, Cluster algebras and symmetric matrices, Reflection group presentations arising from cluster algebras

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