Poisson structures compatible with the cluster algebra structure in Grassmannians

DOI10.1007/s11005-012-0547-8zbMath1252.53093arXiv0909.0361OpenAlexW2026092938MaRDI QIDQ452228

J. Herrera, D. Rodríguez-Gómez

Publication date: 20 September 2012

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0361

zbMATH Keywords

GrassmannianPoisson-Lie groupcluster algebra

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (4)

Exotic cluster structures on 𝑆𝐿_{𝑛}: the Cremmer–Gervais case ⋮ Rank \(n\) swapping algebra for Grassmannian ⋮ Construction of rank 2 indecomposable modules in Grassmannian cluster categories ⋮ Newton-Okounkov bodies, cluster duality, and mirror symmetry for Grassmannians

Cites Work

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• Cluster algebras. III: Upper bounds and double Bruhat cells.
• On Poisson homogeneous spaces of Poisson-Lie groups
• Poisson geometry of directed networks in a disk
• Cluster algebras I: Foundations
• Cluster $\mathcal X$-varieties for dual Poisson–Lie groups. I
• GRASSMANNIANS AND CLUSTER ALGEBRAS

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