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Statistics on staircase tableaux, eulerian and mahonian statistics

Abstract : 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.
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Sylvie Corteel, Sandrine Dasse-Hartaut. Statistics on staircase tableaux, eulerian and mahonian statistics. 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.245-256. ⟨hal-01215110⟩

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