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Inequalities between Littlewood-Richardson coefficients |
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| Authors: | François Bergeron Riccardo Biagioli |
| Institution: | a Département de Mathématiques Université du Québec à Montréal, Montréal, Qué., Canada, H3C 3P8 b LACIM, Université du Québec à Montréal, Montréal, Qué., Canada, H3C 3P8 c Department of Mathematics and Statistics, York University, N520 Ross Building, 4700 Keele St., Toronto, Ont., Canada |
| 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. |
| Keywords: | Symmetric functions Schur positivity Partitions |
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