Plane Partitions and Their Pedestal Polynomials


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Resumo

For a linear extension P of a partially ordered set S, we consider a generating multivariate polynomial of 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.

Sobre autores

O. Ogievetsky

Aix Marseille Université, CNRS, CPT UMR 7332; Kazan Federal University; Lebedev Physical Institute

Autor responsável pela correspondência
Email: oleg@cpt.univ-mrs.fr
França, Marseille, 13288; Kazan; Moscow

S. Shlosman

Aix Marseille Université, CNRS, CPT UMR 7332; Kharkevich Institute for Information Transmission Problems; Skolkovo Institute of Science and Technology

Email: oleg@cpt.univ-mrs.fr
França, Marseille, 13288; Moscow; Moscow

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