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A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions

Abstract : We establish several properties of an algorithm defined by Mason and Remmel (2010) which inserts a positive integer into a row-strict composition tableau. These properties lead to 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.
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Jeffrey Ferreira. A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions. 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.329-338. ⟨hal-01215113⟩

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