Abstract
ABSTRACTWe give a new proof for the Littlewood-Richardson rule for the wreath product F≀Sn where F is a finite group. Our proof does not use symmetric functions but use more elementary representation theoretic tools. We also derive a branching rule for inducing the natural embedding of F≀Sn to F≀Sn+1. We then apply the generalized Littlewood-Richardson rule for computing the ordinary quiver of the category F≀FIn where FIn is the category of all injective functions between subsets of an n-element set.
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