A \(\lambda\)-ring Frobenius characteristic for \(G\wr S_n\)
type: Item
instance of: scholarly article
title: A \(\lambda\)-ring Frobenius characteristic for \(G\wr S_n\)
zbMATH Open document ID: 1053.05122
author: Anthony Mendes
author: Jeffrey Remmel
author: Jennifer D. Wagner
published in: The Electronic Journal of Combinatorics
publication date: 2004-10-13T00:00:00Z
full work available at URL: https://eudml.org/doc/124022
full work available at URL: v11i1r56.html
review text: 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 \(G\wr S_n\).
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 20C15
zbMATH DE Number: 2107498
zbMATH Keywords: Frobenius characteristic
zbMATH Keywords: representation theory
zbMATH Keywords: symmetric group
zbMATH Keywords: Hall inner product
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2107498