A Littlewood–Richardson rule for the Macdonald inner product and bimodules over wreath products
Abstract We prove a Littlewood–Richardson type formula for ( s λ / μ , s ν / κ ) t k , t , the pairing of two skew Schur functions in the Macdonald inner product at q = t k for positive integers k . This pairing counts graded decomposition numbers in the representation theory of wreath products of the algebra C [ x ] / x k and symmetric groups.