Semi-infinite Young tableaux and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths
type: Item
instance of: scholarly article
title: Semi-infinite Young tableaux and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths
zbMATH Open document ID: 1452.05189
author: Motohiro Ishii
published in: Algebraic Combinatorics
publication date: 2020-10-14T00:00:00Z
Mathematics Subject Classification ID: 05E10
zbMATH DE Number: 7260795
zbMATH Keywords: semi-infinite Young tableau
zbMATH Keywords: semi-infinite Lakshmibai-Seshadri path
zbMATH Keywords: semi-infinite Bruhat order
zbMATH Keywords: affine Weyl group
zbMATH Keywords: quantum affine algebra
zbMATH Keywords: extremal weight module
zbMATH Keywords: crystal basis
MaRDI profile type: Publication
full work available at URL: alco.130
OpenAlex ID: W3144832420
cites work: Finite-dimensional representations of quantum affine algebras
cites work: Crystal bases and two-sided cells of quantum affine algebras
cites work: Combinatorics of Coxeter Groups
cites work: Q3129746
cites work: Path model for representations of generalized Kac-Moody algebras
cites work: Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras
cites work: Q4317871
cites work: A Littelmann path model for crystals of generalized Kac-Moody algebras
cites work: Q4040877
cites work: Perfect crystals of quantum affine Lie algebras
cites work: Crystal bases of modified quantized enveloping algebra
cites work: Q4865651
cites work: Q4893236
cites work: On level-zero representation of quantized affine algebras.
cites work: Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
cites work: Crystal Graphs and the Combinatorics of Young Tableaux
cites work: Quantum cohomology of \(G/P\) and homology of affine Grassmannian
cites work: A Uniform Model for Kirillov-Reshetikhin Crystals I: Lifting the Parabolic Quantum Bruhat Graph
cites work: Quantum Lakshmibai-Seshadri paths and root operators
cites work: A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
cites work: Paths and root operators in representation theory
cites work: A plactic algebra for semisimple Lie algebras
cites work: Q4664371
cites work: Affine type A crystal structure on tensor products of rectangles, Demazure characters, and nilpotent varieties
DOI: 10.5802/ALCO.130
description: scientific article; zbMATH DE number 7260795