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Row-strict quasisymmetric Schur functions | | Sarah Mason
; Jeffrey Remmel
; | | Date: |
18 Oct 2011 | | Abstract: | Haglund, Luoto, Mason, and van Willigenburg introduced a basis for
quasisymmetric functions called the quasisymmetric Schur function basis,
generated combinatorially through fillings of composition diagrams in much the
same way as Schur functions are generated through reverse column-strict
tableaux. We introduce a new basis for quasisymmetric functions called the
row-strict quasisymmetric Schur function basis, generated combinatorially
through fillings of composition diagrams in much the same way as Schur
functions are generated through row-strict tableaux. We describe the
relationship between this new basis and other known bases for quasisymmetric
functions, as well as its relationship to Schur polynomials. We obtain a
refinement of the omega transform operator as a result of these relationships. | | Source: | arXiv, 1110.4014 | | Services: | Forum | Review | PDF | Favorites | |
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