Sylvie Corteel ; Sandrine Dasse-Hartaut - Statistics on staircase tableaux, eulerian and mahonian statistics

dmtcs:2907 - Discrete Mathematics & Theoretical Computer Science, January 1, 2011, DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) - https://doi.org/10.46298/dmtcs.2907
Statistics on staircase tableaux, eulerian and mahonian statistics

Authors: Sylvie Corteel ; Sandrine Dasse-Hartaut

    We give a simple bijection between some staircase tableaux and tables of inversion. Some nice properties of the bijection allows us to define some q-Eulerian polynomials related to the staircase tableaux. We also give a combinatorial interpretation of these q-Eulerian polynomials in terms of permutations.

    https://doi.org/10.46298/dmtcs.2907
    Source : oai:HAL:hal-01215110v1
    Volume: DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
    Section: Proceedings
    Published on: January 1, 2011
    Imported on: January 31, 2017
    Keywords: staircase tableaux,bijection,permutations,[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
    Fundings :
      Source : OpenAIRE Research Graph
    • Interactions Of Combinatorics; Funder: French National Research Agency (ANR); Code: ANR-08-JCJC-0011

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