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Inequalities between Littlewood-Richardson Coefficients

Francois Bergeron·Riccardo Biagioli·Mercedes H. Rosas
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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.

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Francois Bergeron, Riccardo Biagioli, Mercedes H. Rosas. 2004-03-31. Inequalities between Littlewood-Richardson Coefficients. https://arxiv.org/abs/math/0403541

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