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We prove a Littlewood-Richardson type formula for$(s_{\lambda/\mu},s_{\nu/\kappa})_{t^k,t}$, the pairing of two skew Schurfunctions in the MacDonald inner product at $q = t^k$ for positive integers$k$. This pairing counts graded decomposition numbers in the representationtheory of wreath products of the algebra $C[x]/x^k$ and symmetric groups.

A Littlewood-Richardson rule for the MacDonald inner product and bimodules over wreath products