A Schur function identity related to the (-1)-enumeration of self-complementary plane partitions
Combinatorics
2007-05-23 v2
Abstract
We give another proof for the (-1)-enumeration of self-complementary plane partitions with at least one odd side-length by specializing a certain Schur function identity. The proof is analogous to Stanley's proof for the ordinary enumeration. In addition, we obtain enumerations of 180-degree symmetric rhombus tilings of hexagons with a barrier of arbitrary length along the central line.
Cite
@article{arxiv.math/0602401,
title = {A Schur function identity related to the (-1)-enumeration of self-complementary plane partitions},
author = {Theresia Eisenkölbl},
journal= {arXiv preprint arXiv:math/0602401},
year = {2007}
}
Comments
AMSLatex, 14 pages, Parity conditions in Theorem 3 corrected and an additional case added