This material has been published in
"q-Series from a Contemporary Perspective," M. E. H. Ismail,
D. Stanton,
eds., Contemporary Math., vol. 254, Amer. Math. Soc., Providence,
R.I., 2000, pp. 335-350,
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Christian Krattenthaler
Schur function identities and the number of perfect matchings of
holey Aztec rectangles
(16 pages)
Abstract.
We compute the number of perfect matchings of an MxN Aztec
rectangle where |N-M| vertices have been removed along a line. A
particular case solves a problem posed by Propp.
Our enumeration results follow from
certain identities for Schur functions, which
are established by the combinatorics of nonintersecting lattice path.
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