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...
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 ...
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 ...
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...