(q,t)-Deformations of multivariate hook product formulae

作者：Okada Soichi^*

来源：Journal of Algebraic Combinatorics, 2010, 32(3): 399-416.

DOI：10.1007/s10801-010-0221-0

• Hook product formula
• Reverse plane partition
• Macdonald symmetric functions
• P-partition
• d-complete poset

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.

• 出版日期2010-11