Counting paths in Young's lattice (Q1209644)
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scientific article; zbMATH DE number 168232
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Counting paths in Young's lattice |
scientific article; zbMATH DE number 168232 |
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Counting paths in Young's lattice (English)
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16 May 1993
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The coefficient of the Schur function \(s_ \mu\) in \(s_ \lambda h_{m_ 1} h_{n_ 1}^* \cdots\) counts the paths from \(\lambda \to \mu\) going up by horizontal strips, here \(h_ n\) is the homogeneous symmetric function of degree \(n\). The paper derives formulas to count the number of such paths (and others alike) by using Pieri's rule.
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dual operator
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multiplication operator
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symmetric function
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Schur function
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paths
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