Inequalities between LittlewoodRichardson Coefficients
Abstract
We prove that a conjecture of Fomin, Fulton, Li, and Poon, associated to ordered pairs of partitions, holds for many infinite families of such pairs. We also show that the bounded height case can be reduced to checking that the conjecture holds for a finite number of pairs, for any given height. Moreover, we propose a natural generalization of the conjecture to the case of skew shapes.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 March 2004
 arXiv:
 arXiv:math/0403541
 Bibcode:
 2004math......3541B
 Keywords:

 Combinatorics;
 Algebraic Geometry;
 05E05;
 05E10;
 15A42
 EPrint:
 28 pages, 12 figures