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JCT
2011
74views more  JCT 2011»
12 years 11 months ago
Quasisymmetric Schur functions
Abstract. We introduce a new basis for quasisymmetric functions, which arise from a specialization of nonsymmetric Macdonald polynomials to standard bases, also known as Demazure a...
James Haglund, Kurt W. Luoto, Sarah Mason, Stephan...
JCT
2011
55views more  JCT 2011»
12 years 11 months ago
A Pieri rule for skew shapes
The Pieri rule expresses the product of a Schur function and a single row Schur function in terms of Schur functions. We extend the classical Pieri rule by expressing the product ...
Sami H. Assaf, Peter R. W. McNamara
COMBINATORICS
2007
81views more  COMBINATORICS 2007»
13 years 4 months ago
The m-Colored Composition Poset
We define a partial order on colored compositions with many properties analogous to Young’s lattice. We show that saturated chains correspond to colored permutations, and that ...
Brian Drake, T. Kyle Petersen
EJC
2010
13 years 4 months ago
Inversion of some series of free quasi-symmetric functions
We give a combinatorial formula for the inverses of the alternating sums of free quasi-symmetric functions of the form F(I) where I runs over compositions with parts in a prescribe...
Florent Hivert, Jean-Christophe Novelli, Jean-Yves...