Combinatorics of diagrams of permutations

Autor: Joel Brewster Lewis, Alejandro Morales
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AT,..., Iss Proceedings (2014)
Druh dokumentu: article
ISSN: 1365-8050
DOI: 10.46298/dmtcs.2435
Popis: 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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