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JCT
2016

Combinatorics of diagrams of permutations

4 years 4 months ago
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. R´esum´e. Il y a nombreaux objets combinatoires associ´es `a une permutation Grassmannienne wλ qui indexent les cellules de le Grassmannien totalement non n´egatif. Nous ´etudions certains de ces objets (placement de tours, orientations acycliques, diverses remplissages restrentes) et leurs q-analogues dans le cas o`u la permutation w n’est pas n´ecessairement Grassmannienne.
Joel Brewster Lewis, Alejandro H. Morales
Added 06 Apr 2016
Updated 06 Apr 2016
Type Journal
Year 2016
Where JCT
Authors Joel Brewster Lewis, Alejandro H. Morales
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