A \(\lambda\)-ring Frobenius characteristic for \(G\wr S_n\) (Q1883674)
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scientific article; zbMATH DE number 2107498
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A \(\lambda\)-ring Frobenius characteristic for \(G\wr S_n\) |
scientific article; zbMATH DE number 2107498 |
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A \(\lambda\)-ring Frobenius characteristic for \(G\wr S_n\) (English)
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13 October 2004
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Summary: A \(\lambda\)-ring version of a Frobenius characteristic for groups of the form \(G\wr S_n\) is given. Our methods provide natural analogs of classic results in the representation theory of the symmetric group. Included is a method to decompose the Kronecker product of two irreducible representations of \(G\wr S_n\) into its irreducible components along with generalizations of the Murnaghan-Nakayama rule, the Hall inner product, and the reproducing kernel for \(G\wr S_n\).
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Frobenius characteristic
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representation theory
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symmetric group
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Hall inner product
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0.87420845
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0.86064714
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0.8591504
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0.85890824
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0.85842526
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