%0 Journal Article
%T $(q,t)$-deformations of multivariate hook product formulae
%A Soichi Okada
%J Mathematics
%D 2009
%I arXiv
%X We generalize multivariate hook product formulae for $P$-partitions. We use Macdonald symmetric functions to prove a $(q,t)$-deformation of Gansner's hook product formula for the generating functions of reverse (shifted) plane partitions. (The unshifted case has also been proved by Adachi.) For a $d$-complete poset, we present a conjectural $(q,t)$-deformation of Peterson--Proctor's hook product formula.
%U http://arxiv.org/abs/0909.0086v2