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COMBINATORICS
2002
72views more  COMBINATORICS 2002»
13 years 4 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
COMBINATORICS
2006
108views more  COMBINATORICS 2006»
13 years 4 months ago
Grothendieck Bialgebras, Partition Lattices, and Symmetric Functions in Noncommutative Variables
We show that the Grothendieck bialgebra of the semi-tower of partition lattice algebras is isomorphic to the graded dual of the bialgebra of symmetric functions in noncommutative ...
Nantel Bergeron, Christophe Hohlweg, Mercedes Rosa...
COMBINATORICS
2006
104views more  COMBINATORICS 2006»
13 years 4 months ago
Factorial Grothendieck Polynomials
In this paper, we study Grothendieck polynomials indexed by Grassmannian permutations from a combinatorial viewpoint. We introduce the factorial Grothendieck polynomials which are...
Peter McNamara
AISC
2010
Springer
13 years 9 months ago
Formal Proof of SCHUR Conjugate Function
Abstract. The main goal of our work is to formally prove the correctness of the key commands of the SCHUR software, an interactive program for calculating with characters of Lie gr...
Franck Butelle, Florent Hivert, Micaela Mayero, Fr...
JCO
2006
96views more  JCO 2006»
13 years 4 months ago
One-dimensional optimal bounded-shape partitions for Schur convex sum objective functions
Consider the problem of partitioning n nonnegative numbers into p parts, where part i can be assigned ni numbers with ni lying in a given range. The goal is to maximize a Schur con...
F. H. Chang, H. B. Chen, J. Y. Guo, Frank K. Hwang...