A \(\lambda\)-ring Frobenius characteristic for \(G\wr S_n\)
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 \(G\wr S_n\).
scientific article; zbMATH DE number 2107498