Article
Inequalities between Littlewood–Richardson coefficients
Author/s | Bergeron, François
Biagioli, Riccardo Rosas Celis, Mercedes Helena |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2006-05 |
Deposit Date | 2016-05-31 |
Published in |
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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 ... 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. |
Funding agencies | Natural Sciences and Engineering Research Council of Canada (NSERC) Fonds Québécois de la Recherche sur la Nature et les Technologies |
Citation | 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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