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A Littlewood-Richardson Type Rule for Row-Strict Quasisymmetric Schur Functions

Combinatorics 2011-02-09 v1

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.

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Cite

@article{arxiv.1102.1458,
  title  = {A Littlewood-Richardson Type Rule for Row-Strict Quasisymmetric Schur Functions},
  author = {Jeffrey Ferreira},
  journal= {arXiv preprint arXiv:1102.1458},
  year   = {2011}
}

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15 pages