The lattice of Pieri (Q1357265)
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scientific article; zbMATH DE number 1022848
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The lattice of Pieri |
scientific article; zbMATH DE number 1022848 |
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The lattice of Pieri (English)
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27 July 1997
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The author associates a remarkable distributive sublattice of the lattice consisting of all the partitions of a certain integer with Pieri's formula, which expresses the multipliction of a Schur function by an elementary symmetric function, or the decomposition of the tensor product of representations of \(\text{Gl}(\mathbf C^m)\), \( m \geq 4\), or the insection of a Schubert cycle by a special one.
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distributive lattice
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Pieri's formula
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Schur function
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partition of an integer
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