Geodesic
Plane Partitions and Their Pedestal Polynomials
Matematičeskie zametki, Tome 103 (2018) no. 5, pp. 745-749

Voir la notice de l'article provenant de la source Math-Net.Ru

For a linear extension $P$ of a partially ordered set $\mathscr S$, we define a multivariate polynomial by counting certain reverse partitions on $\mathscr S$, called $P$-pedestals. We establish a remarkable property of this polynomial: it does not depend on the choice of $P$. For $\mathscr S$ a Young diagram, we show that this polynomial generalizes the hook polynomial.
Keywords: Young diagram, hook polynomial, Schur functions. 
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     author = {O. V. Ogievetskii and S. B. Shlosman},
     title = {Plane {Partitions} and {Their} {Pedestal} {Polynomials}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {745--749},
     publisher = {mathdoc},
     volume = {103},
     number = {5},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_5_a8/}
}
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O. V. Ogievetskii; S. B. Shlosman. Plane Partitions and Their Pedestal Polynomials. Matematičeskie zametki, Tome 103 (2018) no. 5, pp. 745-749. http://geodesic.mathdoc.fr/item/MZM_2018_103_5_a8/