Plane overpartitions and cylindric partitions
Combinatorics
2010-09-17 v2 Mathematical Physics
math.MP
Abstract
Generating functions for plane overpartitions are obtained using various methods such as nonintersecting paths, RSK type algorithms and symmetric functions. We extend some of the generating functions to cylindric partitions. Also, we show that plane overpartitions correspond to certain domino tilings and we give some basic properties of this correspondence.
Keywords
Cite
@article{arxiv.0903.2039,
title = {Plane overpartitions and cylindric partitions},
author = {Sylvie Corteel and Cyrille Savelief and Mirjana Vuletić},
journal= {arXiv preprint arXiv:0903.2039},
year = {2010}
}
Comments
42 pages, 11 figures, corrected typos, revised parts, figures redrawn, results unchanged