Towards a uniform subword complex description of acyclic finite type cluster algebras

DOI10.5802/alco.25zbMath1423.13118arXiv1608.07083OpenAlexW2963011388WikidataQ129098139 ScholiaQ129098139MaRDI QIDQ1800658

Sarah B. Brodsky, Christian Stump

Publication date: 24 October 2018

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07083

zbMATH Keywords

cluster algebra\(F\)-polynomialsubword complexes

Mathematics Subject Classification ID

Related Items (3)

Massively parallel computation of tropical varieties, their positive part, and tropical Grassmannians ⋮ ABHY Associahedra and Newton polytopes of F$F$‐polynomials for cluster algebras of simply laced finite type ⋮ Minkowski decompositions for generalized associahedra of acyclic type

Cites Work

• Unnamed Item
• Minkowski decomposition of associahedra and related combinatorics
• Cluster algebras of type \(D_4\), tropical planes, and the positive tropical Grassmannian
• Positivity for cluster algebras from surfaces
• Cluster expansion formulas and perfect matchings
• Permutahedra and generalized associahedra.
• Associahedra via spines
• Gröbner geometry of Schubert polynomials
• Sortable elements and Cambrian lattices.
• A cluster expansion formula (\(A_{n}\) case)
• Cluster algebras of finite type via Coxeter elements and principal minors.
• Coxeter matroids. With illustrations by Anna Borovik
• Cluster algebras. II: Finite type classification
• Subword complexes in Coxeter groups.
• Realization of the Stasheff polytope
• Brick polytopes of spherical subword complexes and generalized associahedra
• The tropical totally positive Grassmannians
• Subword complexes, cluster complexes, and generalized multi-associahedra
• Cluster algebras I: Foundations
• Cluster algebras IV: Coefficients
• Permutohedra, Associahedra, and Beyond
• Cambrian frameworks for cluster algebras of affine type
• Polytopal Realizations of Generalized Associahedra
• Vertex barycenter of generalized associahedra
• On tropical dualities in cluster algebras
• Denominator vectors and compatibility degrees in cluster algebras of finite type
• Combinatorial Frameworks for Cluster Algebras

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