Geodesic
A \(\lambda\)-ring Frobenius characteristic for \(G\wr S_n\)
The electronic journal of combinatorics, Tome 11 (2004) no. 1
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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 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 $G\wr S_n$.
DOI : 10.37236/1809
Classification : 05E10, 20C15
Mots-clés : Frobenius characteristic, representation theory, symmetric group, Hall inner product 
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     author = {Anthony Mendes and Jeffrey Remmel and Jennifer Wagner},
     title = {A \(\lambda\)-ring {Frobenius} characteristic for {\(G\wr} {S_n\)}},
     journal = {The electronic journal of combinatorics},
     year = {2004},
     volume = {11},
     number = {1},
     doi = {10.37236/1809},
     zbl = {1053.05122},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1809/}
}
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Anthony Mendes; Jeffrey Remmel; Jennifer Wagner. A \(\lambda\)-ring Frobenius characteristic for \(G\wr S_n\). The electronic journal of combinatorics, Tome 11 (2004) no. 1. doi: 10.37236/1809

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