A bijection from staircase tableaux to inversion tables, giving some Eulerian and Mahonian statistics

DOI10.1007/S00026-016-0329-6zbMath1354.05003OpenAlexW2530844257MaRDI QIDQ505693

Sylvie Corteel, Sandrine Dasse-Hartaut

Publication date: 26 January 2017

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-016-0329-6

zbMATH Keywords

permutationsEulerian numbersMahonian statisticsbijectionsstaircase tableaux

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05)

Cites Work

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• Crossings of signed permutations and \(q\)-Eulerian numbers of type \(B\)
• The structure of alternative tableaux
• The Matrix Ansatz, orthogonal polynomials, and permutations
• Enumeration of totally positive Grassmann cells
• Permutation tableaux and permutation patterns
• Combinatorial Hopf algebras, noncommutative Hall-Littlewood functions, and permutation tableaux
• A determinantal formula for Catalan tableaux and TASEP probabilities
• On some properties of permutation tableaux
• Combinatorics on permutation tableaux of type A and type B
• Tableaux combinatorics for the asymmetric exclusion process
• Total positivity for cominuscule Grassmannians.
• Bijections for permutation tableaux
• Crossings and alignments of permutations
• Formulae for Askey-Wilson moments and enumeration of staircase tableaux
• Staircase tableaux, the asymmetric exclusion process, and Askey-Wilson polynomials
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• A Markov Chain on Permutations which Projects to the PASEP

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