Edge sequences, ribbon tableaux, and an action of affine permutations
type: Item
instance of: scholarly article
title: Edge sequences, ribbon tableaux, and an action of affine permutations
zbMATH Open document ID: 0918.05102
author: Marc van Leeuwen
published in: European Journal of Combinatorics
publication date: 1999-06-01T00:00:00Z
review text: This is a summary of results on ribbon tableaux and a description of a natural action of the affine Coxeter group of type \(\widetilde{A}_{r-1}\) on the \(r\)-rim hook lattice. This leads to the concept of chains in \(r\)-ribbon tableaux, generalizing the notion of chains in domino tableaux. The author derives some basic combinatorial properties of these chains and of the operation of moving them in the ribbon tableaux.
reviewed by: David M. Bressoud
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 17B10
zbMATH DE Number: 1275382
zbMATH Keywords: affine permutations
zbMATH Keywords: ribbon tableaux
zbMATH Keywords: Coxeter group
zbMATH Keywords: \(r\)-rim hook lattice
zbMATH Keywords: chains
MaRDI profile type: Publication
OpenAlex ID: W2107290256
DOI: 10.1006/EUJC.1998.0273
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description: scientific article; zbMATH DE number 1275382