Sylvie Corteel ; Sandrine Dasse-Hartaut
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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)
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https://doi.org/10.46298/dmtcs.2907
Statistics on staircase tableaux, eulerian and mahonian statistics
Authors: Sylvie Corteel ; Sandrine Dasse-Hartaut
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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.
Corteel, Sylvie; Dasse-Hartaut, Sandrine, 2016, A Bijection From Staircase Tableaux To Inversion Tables, Giving Some Eulerian And Mahonian Statistics, Annals Of Combinatorics, 20, 4, pp. 737-754, 10.1007/s00026-016-0329-6.
Corteel, Sylvie; Kim, Jang Soo; Stanton, Dennis, 2016, Moments Of Orthogonal Polynomials And Combinatorics, Recent Trends In Combinatorics - The Ima Volumes In Mathematics And Its Applications, pp. 545-578, 10.1007/978-3-319-24298-9_22.