Enumeration of Cylindric Plane Partitions - Part II
Combinatorics
2012-09-11 v1
Abstract
Cylindric plane partitions may be thought of as a natural generalization of reverse plane partitions. A generating series for the enumeration of cylindric plane partitions was recently given by Borodin. As in the reverse plane partition case, the right hand side of this identity admits a simple factorization form in terms of the "hook lengths" of the individual boxes in the underlying shape. The main result of this paper is a new bijective proof of Borodin's identity which makes use of Fomin's growth diagram framework for generalized RSK correspondences.
Keywords
Cite
@article{arxiv.1209.1807,
title = {Enumeration of Cylindric Plane Partitions - Part II},
author = {Robin Langer},
journal= {arXiv preprint arXiv:1209.1807},
year = {2012}
}