Growth rate of cluster algebras

DOI10.1112/plms/pdu010zbMath1386.13061arXiv1203.5558OpenAlexW3099216875MaRDI QIDQ2922878

Michael Shapiro, Pavel Tumarkin, Hugh Thomas, A. A. Felikson

Publication date: 15 October 2014

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5558

Mathematics Subject Classification ID

Cluster algebras (13F60)

Related Items

Tubular cluster algebras. II: Exponential growth, Exchange graphs for mutation-finite non-integer quivers, Cluster automorphisms and the marked exchange graphs of skew-symmetrizable cluster algebras, Cluster Algebras and Triangulated Surfaces Part II: Lambda Lengths, Cluster algebras and triangulated orbifolds, Braid group symmetries of Grassmannian cluster algebras

Cites Work

• Unnamed Item
• Skew-symmetric cluster algebras of finite mutation type
• Cluster algebras and triangulated orbifolds
• On the properties of the exchange graph of a cluster algebra.
• Cluster algebras and triangulated surfaces. I: Cluster complexes
• Extended affine root systems. I: Coxeter transformations
• Cluster algebras. II: Finite type classification
• Combinatorial group theory.
• Cluster algebras. III: Upper bounds and double Bruhat cells.
• Tilting theory and cluster combinatorics.
• Free subgroups in linear groups
• On triangulated orbit categories
• Cluster algebras I: Foundations
• Linear independence of cluster monomials for skew-symmetric cluster algebras
• Cluster Algebras of Finite Mutation Type Via Unfoldings
• Cluster algebras IV: Coefficients
• From triangulated categories to cluster algebras II
• Quivers with potentials and their representations II: Applications to cluster algebras
• Hypergeometric Functions, My Love
• REPRESENTATIONS OF FREE PRODUCTS BY INFINITE UNITRIANGULAR MATRICES OVER FINITE FIELDS
• Mutation classes of skew-symmetrizable 3×3 matrices
• Clusters and seeds in acyclic cluster algebras