A Schur function identity related to the (-1)-enumeration of self-complementary plane partitions

Details A Schur function identity related to the (-1)-enumeration of self-complementary plane partitions A Schur function identity related to the (-1)-enumeration of self-complementary plane partitions

2006-02-18

arxiv.org/abs/math/0602401v2

Mathematics

Combinatorics

AMSLatex, 14 pages, Parity conditions in Theorem 3 corrected and an additional case added

Scientific paper

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.

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