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A Littlewood-Richardson Type Rule for Row-Strict Quasisymmetric Schur Functions (1102.1458v1)
Published 7 Feb 2011 in math.CO
Abstract: We give a Littlewood-Richardson type rule for expanding the product of a row-strict quasisymmetric Schur function and a symmetric Schur function in terms of row-strict quasisymmetric Schur functions. This expansion follows from several new properties of an insertion algorithm defined by Mason and Remmel (2010) which inserts a positive integer into a row-strict composition tableau.