A new branching rule expresses multiplicities of G^n ⋊ S_n representations inside restricted GL_{nm} representations as a symmetric-function pairing, generalizing Littlewood reciprocity.
Wreath product symmetric functions
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Wreath Generalization of Littlewood Reciprocity
A new branching rule expresses multiplicities of G^n ⋊ S_n representations inside restricted GL_{nm} representations as a symmetric-function pairing, generalizing Littlewood reciprocity.