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Combinatorics of diagrams of permutations

Abstract : There are numerous combinatorial objects associated to a Grassmannian permutation $w_λ$ that index cells of the totally nonnegative Grassmannian. We study some of these objects (rook placements, acyclic orientations, various restricted fillings) and their q-analogues in the case of permutations $\mathcal{w}$ that are not necessarily Grassmannian.
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https://hal.inria.fr/hal-01207542
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Joel Brewster Lewis, Alejandro H. Morales. Combinatorics of diagrams of permutations. 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), 2014, Chicago, United States. pp.703-714, ⟨10.46298/dmtcs.2435⟩. ⟨hal-01207542⟩

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