9 research outputs found
Combinatorics of diagrams of permutations
There are numerous combinatorial objects associated to a Grassmannian permutation 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 that are not necessarily Grassmannian
Combinatorics of diagrams of permutations
There are numerous combinatorial objects associated to a Grassmannian permutation 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 that are not necessarily Grassmannian
Combinatorics of diagrams of permutations
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