Generalized quantum Yang-Baxter moves and their application to Schubert calculus

zbMath1515.05199MaRDI QIDQ6161638

Satoshi Naito, Takafumi Kouno, Cristian Lenart

Publication date: 5 June 2023

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

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2022//13.html

zbMATH Keywords

quantum Bruhat graphquantum alcove modelsemi-infinite flag manifoldChevalley formulaquantum Yang-Baxter move

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15)

Related Items (1)

New structure on the quantum alcove model with applications to representation theory and Schubert calculus

Cites Work

• Unnamed Item
• A uniform realization of the combinatorial \(R\)-matrix for column shape Kirillov-Reshetikhin crystals
• Chevalley formula for anti-dominant weights in the equivariant \(K\)-theory of semi-infinite flag manifolds
• A bijective proof of the ASM theorem. I: The operator formula
• Equivariant \(K\)-theory of semi-infinite flag manifolds and the Pieri-Chevalley formula
• A generalization of the alcove model and its applications
• A combinatorial model for crystals of Kac-Moody algebras
• Frobenius splitting of Schubert varieties of semi-infinite flag manifolds
• Affine Weyl Groups in K-Theory and Representation Theory

This page was built for publication: Generalized quantum Yang-Baxter moves and their application to Schubert calculus