\(\mathcal A = \mathcal U\) for locally acyclic cluster algebras

DOI10.3842/SIGMA.2014.094zbMath1327.13079arXiv1308.1141MaRDI QIDQ462639

Greg Muller

Publication date: 21 October 2014

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.1141

zbMATH Keywords

cluster algebrasacyclic cluster algebrasupper cluster algebras

Mathematics Subject Classification ID

Rings of fractions and localization for commutative rings (13B30) Cluster algebras (13F60)

Related Items (18)

Unfolding of sign-skew-symmetric cluster algebras and its applications to positivity and \(F\)-polynomials ⋮ Lower bound cluster algebras: presentations, Cohen-Macaulayness, and normality ⋮ Classification of singularities of cluster algebras of finite type: the case of trivial coefficients ⋮ On structure of cluster algebras of geometric type. I: In view of sub-seeds and seed homomorphisms ⋮ Properties of minimal mutation-infinite quivers ⋮ Reddening sequences for Banff quivers and the class \(\mathcal{P}\) ⋮ Microlocal theory of Legendrian links and cluster algebras ⋮ Skein and cluster algebras of unpunctured surfaces for \({\mathfrak{sl}}_3\) ⋮ The valuation pairing on an upper cluster algebra ⋮ On the generalized cluster algebras of geometric type ⋮ Cluster Structures on Double Bott–Samelson Cells ⋮ Cluster algebras, invariant theory, and Kronecker coefficients. I ⋮ Green-to-red sequences for positroids ⋮ On cluster algebras from unpunctured surfaces with one marked point ⋮ Cluster algebras of Grassmannians are locally acyclic ⋮ Schemes of modules over gentle algebras and laminations of surfaces ⋮ Upper cluster algebras and choice of ground ring ⋮ Factoriality and class groups of cluster algebras

This page was built for publication: \(\mathcal A = \mathcal U\) for locally acyclic cluster algebras