Séminaire Lotharingien de Combinatoire, 78B.57 (2017), 12 pp.

Elizabeth Niese

A Remmel-Whitney Rule for Quasisymmetric Schur Functions

Abstract. Remmel and Whitney provided an algorithmic procedure for determining the Littlewood-Richardson coefficients that appear in the Schur function expansion of a product of Schur functions. Haglund et al. introduced the quasisymmetric Schur functions as a basis for QSym. This paper adapts Remmel and Whitney's approach in order to determine the coefficients that appear in the quasisymmetric Schur function expansion of the product of a quasisymmetric Schur function and a (symmetric) Schur function.

Received: November 14, 2016. Accepted: February 17, 2017. Final version: April 1, 2017.

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