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JCT
2011
74views more  JCT 2011»
9 years 8 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»
9 years 8 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
2002
72views more  COMBINATORICS 2002»
10 years 1 months ago
Linearly Independent Products of Rectangularly Complementary Schur Functions
Fix a rectangular Young diagram R, and consider all the products of Schur functions ssc , where and c run over all (unordered) pairs of partitions which are complementary with re...
Michael Kleber
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