Inequalities between Littlewood-Richardson coefficients

Authors:
François Bergeron;Riccardo Biagioli;Mercedes H. Rosas
Affiliations:
Département de Mathématiques Université du Québec à Montréal, Montréal, Qué., Canada;LACIM, Université du Québec à Montréal, Montréal, Qué., Canada;Department of Mathematics and Statistics, York University, Toronto, Ont., Canada
Venue:
Journal of Combinatorial Theory Series A
Year:
2006

Citing 1
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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.