Descending plane partitions and rhombus tilings of a hexagon with triangular hole
Combinatorics
2007-05-23 v1
Abstract
It is shown that the descending plane partitions of Andrews can be geometrically realized as cyclically symmetric rhombus tilings of a certain hexagon where an equilateral triangle of side length 2 has been removed from its centre. Thus, the lattice structure for descending plane partitions, as introduced by Mills, Robbins and Rumsey, allows for an elegant visualization.
Keywords
Cite
@article{arxiv.math/0310188,
title = {Descending plane partitions and rhombus tilings of a hexagon with triangular hole},
author = {Christian Krattenthaler},
journal= {arXiv preprint arXiv:math/0310188},
year = {2007}
}
Comments
8 pages, AmS-TeX