Dimer models on cylinders over Dynkin diagrams and cluster algebras

DOI10.1090/proc/14344zbMath1425.16008arXiv1704.07454OpenAlexW2963875990WikidataQ129241169 ScholiaQ129241169MaRDI QIDQ4644693

Maitreyee C. Kulkarni

Publication date: 8 January 2019

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

Full work available at URL: https://arxiv.org/abs/1704.07454

zbMATH Keywords

Kac-Moody algebracylindersBerenstein-Fomin-Zelevinsky quivers

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items

Examples of geodesic ghor algebras on hyperbolic surfaces ⋮ Quivers with potentials for Grassmannian cluster algebras ⋮ Mutation of frozen Jacobian algebras ⋮ THE COMBINATORICS OF TENSOR PRODUCTS OF HIGHER AUSLANDER ALGEBRAS OF TYPEA

Cites Work

• Partial flag varieties and preprojective algebras.
• Quivers with potentials and their representations. I: Mutations.
• Cluster algebras. III: Upper bounds and double Bruhat cells.
• Cluster algebras I: Foundations
• A categorification of Grassmannian cluster algebras
• Dimer models and cluster categories of Grassmannians
• Mutation of cluster-tilting objects and potentials
• GRASSMANNIANS AND CLUSTER ALGEBRAS
• Cluster structures for 2-Calabi–Yau categories and unipotent groups