Plane overpartitions and cylindric partitions

Details Plane overpartitions and cylindric partitions Plane overpartitions and cylindric partitions

2009-03-11

arxiv.org/abs/0903.2039v2

Mathematics

Combinatorics

42 pages, 11 figures, corrected typos, revised parts, figures redrawn, results unchanged

Scientific paper

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.

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