Weighted Aztec diamond graphs and the Weyl character formula (Q1883639)
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scientific article; zbMATH DE number 2107470
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted Aztec diamond graphs and the Weyl character formula |
scientific article; zbMATH DE number 2107470 |
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Weighted Aztec diamond graphs and the Weyl character formula (English)
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13 October 2004
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Summary: Special weight labelings on Aztec diamond graphs lead to sum-product identities through a recursive formula of Kou. 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.
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