Dual equivalence with applications, including a conjecture of Proctor
type: Item
instance of: scholarly article
title: Dual equivalence with applications, including a conjecture of Proctor
zbMATH Open document ID: 0760.05093
DOI: 10.1016/0012-365X(92)90368-P
author: Mark Haiman
published in: Discrete Mathematics
publication date: 1992-09-27T00:00:00Z
review text: The author establishes a bijection between standard tableaux of ``shifted staircase'' type and reduced expressions for the longest element in the Coxeter group. He also proves a conjecture of Stanley and determines the ``dual Knuth relations'' for the shifted Schensted correspondence.
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 05E05
Mathematics Subject Classification ID: 20F55
zbMATH DE Number: 63156
zbMATH Keywords: dual equivalence
zbMATH Keywords: conjecture of Proctor
zbMATH Keywords: Coxeter group
reviewed by: R. G. Stanton
MaRDI profile type: Publication
Wikidata QID: Q56763472
cites work: Balanced tableaux
cites work: On mixed insertion, symmetry, and shifted Young tableaux
cites work: A characterization of generalized staircases
cites work: Permutations, matrices, and generalized Young tableaux
cites work: Q3204460
cites work: Q3329580
cites work: Shifted tableaux, Schur q-functions, and a conjecture of R. Stanley
cites work: Promotion des morphismes d'ensembles ordonnes
cites work: La correspondance de Robinson
cites work: On the number of reduced decompositions of elements of Coxeter groups
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description: scientific article; zbMATH DE number 63156