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JCT
2011
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13 years 6 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»
13 years 6 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
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13 years 11 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