Cluster algebras of Grassmannians are locally acyclic

DOI10.1090/proc/13023zbMath1375.13039arXiv1401.5137OpenAlexW2963221887MaRDI QIDQ2809182

Greg Muller, David E. Speyer

Publication date: 27 May 2016

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

Full work available at URL: https://arxiv.org/abs/1401.5137

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Cluster algebras (13F60)

Related Items

Cluster algebras and the positive Grassmannian, Cluster structures on strata of flag varieties, Classification of singularities of cluster algebras of finite type: the case of trivial coefficients, Twists of Plücker coordinates as dimer partition functions, Dimers, webs, and positroids, Positroid cluster structures from relabeled plabic graphs, Calabi–Yau properties of Postnikov diagrams, Properties of minimal mutation-infinite quivers, Reddening sequences for Banff quivers and the class \(\mathcal{P}\), Cohomology of cluster varieties II: Acyclic case, Construction of rank 2 indecomposable modules in Grassmannian cluster categories, Positroid varieties and cluster algebras, Prime factors of quantum Schubert cell algebras and clusters for quantum Richardson varieties, Green-to-red sequences for positroids, On cluster algebras from unpunctured surfaces with one marked point, Symmetries of stochastic colored vertex models, Combinatorics of cluster structures in Schubert varieties, The Berenstein-Zelevinsky quantum cluster algebra conjecture, Cohomology of cluster varieties. I: Locally acyclic case

Cites Work

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• Locally acyclic cluster algebras
• Cohomology of cluster varieties. I: Locally acyclic case
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• GRASSMANNIANS AND CLUSTER ALGEBRAS