FRIEZES, STRINGS AND CLUSTER VARIABLES

DOI10.1017/S0017089511000322zbMath1280.16015arXiv1009.3341OpenAlexW2962885308MaRDI QIDQ3116833

Grégoire Dupont, David Smith, Ralf Schiffler, Ibrahim Assem

Publication date: 12 February 2012

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3341

zbMATH Keywords

Laurent polynomialscluster-tilted algebrasgentle algebras2-Calabi-Yau tilted algebrascluster charactersstring moduleswalks in quivers

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items (11)

All \(\operatorname{SL}_{2}\)-tilings come from infinite triangulations ⋮ Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics ⋮ Positivity for cluster algebras of rank 3 ⋮ Friezes ⋮ On a category of cluster algebras ⋮ Categorical webs and \(S\)-duality in 4d \({\mathcal {N}} = 2\) QFT ⋮ A combinatorial formula for rank 2 cluster variables ⋮ Mutating seeds: types \(\mathbb{A}\) and \(\tilde{\mathbb{A}}\) ⋮ Arithmetics of 2-friezes ⋮ Symplectic frieze patterns ⋮ Positivity for cluster algebras

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