On a category of cluster algebras

DOI10.1016/j.jpaa.2013.07.005zbMath1288.13015arXiv1201.5986OpenAlexW2594579884MaRDI QIDQ392455

Grégoire Dupont, Ralf Schiffler, Ibrahim Assem

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1201.5986

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Cluster algebras (13F60)

Related Items

On rooted cluster morphisms and cluster structures in 2-Calabi-Yau triangulated categories ⋮ Graded quantum cluster algebras of infinite rank as colimits ⋮ Twists of Plücker coordinates as dimer partition functions ⋮ On structure of cluster algebras of geometric type. I: In view of sub-seeds and seed homomorphisms ⋮ Cluster automorphism groups of cluster algebras with coefficients ⋮ Cluster algebras of infinite rank as colimits ⋮ Cluster automorphism groups of cluster algebras of finite type ⋮ The realization of positive definite matrices via planar networks and mixing-type sub-cluster algebras ⋮ Graded cluster algebras ⋮ Recovering the topology of surfaces from cluster algebras ⋮ Cluster subalgebras and cotorsion pairs in Frobenius extriangulated categories ⋮ Quasi-homomorphisms of cluster algebras ⋮ Unistructurality of cluster algebras from unpunctured surfaces ⋮ Braid group symmetries of Grassmannian cluster algebras ⋮ Cluster automorphisms and quasi-automorphisms ⋮ On Involutive Cluster Automorphisms ⋮ Dominance phenomena: mutation, scattering and cluster algebras

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