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COMBINATORICS
2004
79views more  COMBINATORICS 2004»
13 years 4 months ago
Bottom Schur Functions
We give a basis for the space spanned by the sum ^s of the lowest degree terms in the expansion of the Schur symmetric functions s in terms of the power sum
Peter Clifford, Richard P. Stanley
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
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...
NA
2010
144views more  NA 2010»
13 years 2 months ago
A binary powering Schur algorithm for computing primary matrix roots
An algorithm for computing primary roots of a nonsingular matrix A is presented. In particular, it computes the principal root of a real matrix having no nonpositive real eigenvalu...
Federico Greco, Bruno Iannazzo