A bijection from staircase tableaux to inversion tables, giving some Eulerian and Mahonian statistics
type: Item
instance of: scholarly article
title: A bijection from staircase tableaux to inversion tables, giving some Eulerian and Mahonian statistics
zbMATH Open document ID: 1354.05003
author: Sylvie Corteel
author: Sandrine Dasse-Hartaut
published in: Annals of Combinatorics
publication date: 2017-01-26T00:00:00Z
Mathematics Subject Classification ID: 05A05
Mathematics Subject Classification ID: 05A15
zbMATH DE Number: 6678310
zbMATH Keywords: bijections
zbMATH Keywords: staircase tableaux
zbMATH Keywords: permutations
zbMATH Keywords: Eulerian numbers
zbMATH Keywords: Mahonian statistics
MaRDI profile type: Publication
full work available at URL: s00026-016-0329-6
OpenAlex ID: W2530844257
cites work: Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
cites work: On some properties of permutation tableaux
cites work: Crossings and alignments of permutations
cites work: Q2959958
cites work: Crossings of signed permutations and \(q\)-Eulerian numbers of type \(B\)
cites work: The Matrix Ansatz, orthogonal polynomials, and permutations
cites work: Combinatorics on permutation tableaux of type A and type B
cites work: Bijections for permutation tableaux
cites work: Formulae for Askey-Wilson moments and enumeration of staircase tableaux
cites work: Tableaux combinatorics for the asymmetric exclusion process
cites work: A Markov Chain on Permutations which Projects to the PASEP
cites work: Staircase tableaux, the asymmetric exclusion process, and Askey-Wilson polynomials
cites work: Hypergeometric Orthogonal Polynomials and Their q-Analogues
cites work: Total positivity for cominuscule Grassmannians.
cites work: A determinantal formula for Catalan tableaux and TASEP probabilities
cites work: The structure of alternative tableaux
cites work: Combinatorial Hopf algebras, noncommutative Hall-Littlewood functions, and permutation tableaux
cites work: Q4344108
cites work: Permutation tableaux and permutation patterns
cites work: Enumeration of totally positive Grassmann cells
DOI: 10.1007/S00026-016-0329-6
description: scientific article; zbMATH DE number 6678310