Weighted Aztec Diamond Graphs and the Weyl Character Formula
Keyword(s):
Special weight labelings on Aztec diamond graphs lead to sum-product identities through a recursive formula of Kuo. The weight assigned to each perfect matching of the graph is a Laurent monomial, and the identities in these monomials combine to give Weyl's character formula for the representation with highest weight $\rho$ (the half sum of the positive roots) for the classical Lie algebras.
2007 ◽
Vol 17
(03)
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pp. 527-555
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2014 ◽
Vol 150
(7)
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pp. 1196-1234
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Keyword(s):
1976 ◽
Vol 15
(3)
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pp. 201-206
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1987 ◽
Vol 16
(2)
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pp. 292-297
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