Friezes

From MaRDI portal
Publication:607342

DOI10.1016/j.aim.2010.05.019zbMath1275.13017OpenAlexW4212960452MaRDI QIDQ607342

Ibrahim Assem, David Smith, Christophe Reutenauer

Publication date: 22 November 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2010.05.019




Related Items

All \(\operatorname{SL}_{2}\)-tilings come from infinite triangulationsClassifying 𝑆𝐿₂-tilingsCounting friezes in type \(D_n\)Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatoricsFriezes satisfying higher \(\mathrm{SL}_k\)-determinantsFrieze varieties: a characterization of the finite-tame-wild trichotomy for acyclic quiversPositivity for cluster algebras of rank 3Grassmannians and cluster structuresDiscrete integrable systems and Poisson algebras from cluster mapsCorrigendum to: ``Infinite friezes.Coxeter's frieze patterns arising from Dyck pathsDyck path categories and its relationships with cluster algebrasQuivers with subadditive labelings: classification and integrabilityA combinatorial formula for rank 2 cluster variablesCategorification of a frieze pattern determinantIntroducing supersymmetric frieze patterns and linear difference operatorsMutation of type \(D\) friezesCommuting difference operators and the combinatorial Gale transformFriezes and a construction of the Euclidean cluster variablesGeneralized frieze pattern determinants and higher angulations of polygonsLinear recurrence relations for cluster variables of affine quivers.Mutating seeds: types \(\mathbb{A}\) and \(\tilde{\mathbb{A}}\)The solution of the quantum \(A_1\) \(T\)-system for arbitrary boundaryLinear relations for Laurent polynomials and lattice equationsFriezes and continuant polynomials with parametersCoxeter's frieze patterns and discretization of the Virasoro orbitConway-Coxeter friezes and beyond: polynomially weighted walks around dissected polygons and generalized frieze patternsQuasi-cluster algebras from non-orientable surfacesInfinite friezes of cluster algebras from surfacesA Caldero–Chapoton map for infinite clustersCluster-additive functions on stable translation quivers.A family of linearizable recurrences with the Laurent propertyArithmetics of 2-friezes\(SL_k\)-tilings of the planeSymplectic frieze patternsInfinite friezesOn the General Solution of the Heideman–Hogan Family of RecurrencesLinear recurrence relations in \(q\)-systems via lattice points in polyhedraCluster algebraic interpretation of infinite friezesFRIEZES, STRINGS AND CLUSTER VARIABLES\( \tilde{A}\) and \(\tilde{D}\) type cluster algebras: triangulated surfaces and friezesLINEAR RELATIONS AND INTEGRABILITY FOR CLUSTER ALGEBRAS FROM AFFINE QUIVERSThe non-commutative \(A_1T\)-system and its positive Laurent propertyPositivity for cluster algebrasLinear difference equations, frieze patterns, and the combinatorial Gale transform



Cites Work