9 research outputs found

    Combinatorics of diagrams of permutations

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    There are numerous combinatorial objects associated to a Grassmannian permutation wλw_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 w\mathcal{w} that are not necessarily Grassmannian

    Combinatorics of diagrams of permutations

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    There are numerous combinatorial objects associated to a Grassmannian permutation wλw_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 w\mathcal{w} that are not necessarily Grassmannian

    Combinatorics of diagrams of permutations

    Get PDF
    There are numerous combinatorial objects associated to a Grassmannian permutation wλ 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 w that are not necessarily Grassmannian
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