Combinatorics of cluster structures in Schubert varieties

zbMath1435.05237arXiv1811.02724MaRDI QIDQ2306559

Khrystyna Serhiyenko, Lauren K. Williams, Melissa U. Sherman-Bennett

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02724

zbMATH Keywords

Schubert varietycluster algebrapositroidplabic graph

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Semisimple Lie groups and their representations (22E46) Cluster algebras (13F60) Combinatorial aspects of algebraic geometry (05E14)

Cites Work

• Unnamed Item
• Bridge graphs and Deodhar parametrizations for positroid varieties
• Cluster structures on strata of flag varieties
• Green-to-red sequences for positroids
• Representations of Coxeter groups and Hecke algebras
• Intersections of double cosets in algebraic groups
• Locally acyclic cluster algebras
• Positivity for cluster algebras
• Cluster algebras I: Foundations
• Cluster algebras of Grassmannians are locally acyclic
• Positroid varieties: juggling and geometry
• Canonical bases for cluster algebras
• The twist for positroid varieties

This page was built for publication: Combinatorics of cluster structures in Schubert varieties