Plane partitions and their pedestal polynomials (Q1668072)

Let \(\mathscr{S}\) be a partially ordered set and \(P\) be an arbitrary linear extension of \(\mathscr{S}\). The authors define a generating multivariate polynomial \(\mathfrak{h}_P\), which is called the \(P\)-pedestal, for each \(P\). A remarkable property shown by the authors is that \(\mathfrak{h}_P\) stays invariant for any choice of \(P\).