Inequalities between Littlewood-Richardson Coefficients

Details Inequalities between Littlewood-Richardson Coefficients Inequalities between Littlewood-Richardson Coefficients

2004-03-31

arxiv.org/abs/math/0403541v1

Mathematics

Combinatorics

28 pages, 12 figures

Scientific paper

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.

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