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

نویسنده

  • Theresia Eisenkölbl
چکیده

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◦-symmetric rhombus tilings of hexagons with a barrier of arbitrary length along the central line.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. A

دوره 115  شماره 

صفحات  -

تاریخ انتشار 2008