A Schur function identity related to the (-1)-enumeration of
self-complementary plane partitions
Theresia Eisenkölbl
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°-symmetric rhombus
tilings of hexagons with a barrier of arbitrary length along the
central line.
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