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

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

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Combinatorics, 05A15 (Primary); 05E05; 05B45 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/129208

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602401
 http://arxiv.org/abs/math/0602401

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arXiv