Plane partitions and their pedestal polynomials
Résumé
Given a partially ordered set S, we define, for a linear extension P of S, a multivariate polynomial, counting certain reverse partitions on S called P-pedestals. We establish a remarkable property of this polynomial: it does not depend on the choice of P. For S a Young diagram, we show that this polynomial generalizes the hook polynomial.
Domaines
Physique mathématique [math-ph]
Origine : Fichiers produits par l'(les) auteur(s)
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