Bijections between oscillating tableaux and (semi)standard tableaux via growth diagrams

DOI10.1016/j.jcta.2016.06.015zbMath1343.05164arXiv1412.5646OpenAlexW2140640925MaRDI QIDQ739392

Christian Krattenthaler

Publication date: 18 August 2016

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5646

zbMATH Keywords

semistandard tableauxRobinson-Schensted correspondencestandard Young tableauxRobinson-Schensted-Knuth correspondencegrowth diagramsoscillating tableaux

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10)

Related Items (8)

A generating tree approach to \(k\)-nonnesting partitions and permutations ⋮ Bijections for Weyl chamber walks ending on an axis, using arc diagrams and Schnyder woods ⋮ Pieri rules for classical groups and equinumeration between generalized oscillating tableaux and semistandard tableaux ⋮ Polynomiality of certain average weights for oscillating tableaux ⋮ A Sundaram type bijection for \(\mathrm{SO}(3)\): vacillating tableaux and pairs of standard Young tableaux and orthogonal Littlewood-Richardson tableaux ⋮ Tableau sequences, open diagrams, and Baxter families ⋮ A Sundaram type bijection for \(\mathrm{SO}(2k+1)\): vacillating tableaux and pairs consisting of a standard Young tableau and an orthogonal Littlewood-Richardson tableau ⋮ Bijection between increasing binary trees and rook placements on double staircases

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Random walks in Weyl chambers and the decomposition of tensor powers
• Tableau sequences, open diagrams, and Baxter families
• Orthogonal tableaux and an insertion algorithm for \(SO(2n+1)\)
• Growth diagrams, and increasing and decreasing chains in fillings of Ferrers shapes
• Generalized Robinson-Schensted-Knuth correspondence
• The Cauchy identity for \(Sp(2n)\)
• A Schensted-type correspondence for the symplectic group
• A linear operator for symmetric functions and tableaux in a strip with given trace
• An extension of Schensted's theorem
• Identities for classical group characters of nearly rectangular shape
• Schensted algorithms for dual graded graphs
• Spin-preserving Knuth correspondences for ribbon tableaux
• The Robinson-Schensted correspondence for skew oscillating tableaux
• The connection between the Robinson-Schensted correspondence for skew oscillating tableaux and graded graphs
• Schur operators and Knuth correspondences
• The Robinson-Schensted and Schützenberger algorithms, an elementary approach
• Permutations, matrices, and generalized Young tableaux
• A Baxter class of a different kind, and other bijective results using tableau sequences ending with a row shape
• Longest Increasing and Decreasing Subsequences
• A Generalized Berele-Schensted Algorithm and Conjectured Young Tableaux for Intermediate Symplectic Groups
• Crossings and nestings of matchings and partitions
• Random Walk in a Weyl Chamber
• La correspondance de Robinson
• Quelques remarques sur une Construction de Schensted.
• An analogue to Robinson-Schensted correspondence for oscillating tableaux
• Finite posets and Ferrers shapes

This page was built for publication: Bijections between oscillating tableaux and (semi)standard tableaux via growth diagrams