Inequalities between Littlewood–Richardson coefficients

Description

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.

Abstract

Natural Sciences and Engineering Research Council of Canada

Abstract

Fonds Québécois de la Recherche sur la Nature et les Technologies

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