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Inequalities between Littlewood–Richardson coefficients


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Opened Access Inequalities between Littlewood–Richardson coefficients

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Author: Bergeron, François
Biagioli, Riccardo
Rosas Celis, Mercedes Helena
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2006-05
Published in: Journal of Combinatorial Theory, Series A, 113 (4), 567-590.
Document type: Article
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.
Cite: Bergeron, F., Biagioli, R. y Rosas Celis, M.H. (2006). Inequalities between Littlewood–Richardson coefficients. Journal of Combinatorial Theory, Series A, 113 (4), 567-590.
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DOI: 10.1016/j.jcta.2005.05.002

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