An affine almost positive roots model

DOI10.4171/JCA/37zbMath1454.13038arXiv1707.00340OpenAlexW3007312889MaRDI QIDQ2181187

Salvatore Stella, Nathan Reading

Publication date: 18 May 2020

Published in: Journal of Combinatorial Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.00340

zbMATH Keywords

cluster algebrasaffine root systemscompatibility degree\(\mathbf{g}\)-vectorsaffine generalized associahedraalmost-positive rootsdenominator vectorsexchangeable roots

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60) Root systems (17B22) Combinatorial aspects of groups and algebras (05E16)

Related Items (7)

On folded cluster patterns of affine type ⋮ A combinatorial approach to scattering diagrams ⋮ The action of a Coxeter element on an affine root system ⋮ Infinitesimal semi‐invariant pictures and co‐amalgamation ⋮ Some consequences of categorification ⋮ Affine cluster monomials are generalized minors ⋮ A proof of Lee-Lee's conjecture about geometry of rigid modules

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